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Improper fractions and mixed numbers worksheet (with solutions)

Improper fractions and mixed numbers worksheet (with solutions)

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Last updated

26 July 2026

pdf, 60.44 KB
pdf, 60.44 KB

A worksheet on converting improper fractions to mixed numbers and vice versa. Solutions are included.

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A bundle is a package of resources grouped together to teach a particular topic, or a series of lessons, in one place.

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Fractions Worksheets Bundle | Adding Subtracting Multiplying Dividing Fractions

20 worksheets on fractions including the following topics: comparing fractions, simplifying fractions, equivalent fractions, 4 operations between fractions, whole numbers and mixed numbers, converting between improper fractions and mixed numbers. Detailed solutions are included. Are you looking for an all-in-one fractions worksheets bundle to help your students master arithmetic? This comprehensive math practice pack provides no-prep printable booklets for adding, subtracting, multiplying, and dividing fractions with different denominators. Perfect for Key Stage 2 (KS2) Year 5 and Year 6, Key Stage 3 (KS3) revision, independent practice, or cover work! ________________________________________ Stop spending your evenings hunting down clean fraction practice pages! This 20-page Fractions Worksheets Bundle is designed to save you hours of planning time while providing structured mathematical fluency. Whether your students are just starting with comparing fractions or tackling operations with complex mixed numbers, this resource gives them the clear, structured repetitions they need to build confidence. Every single worksheet comes equipped with a matching, fully worked-out solution key to make marking a breeze or to allow for student self-assessment. ________________________________________ **What is Included in This 20-Page Resource?** • **Adding & Subtracting Fractions:** Basic problems with common and different denominators. • **Mixed Operations:** Addition and subtraction between fractions and mixed numbers. • **Whole Numbers & Fractions:** Operations combining whole numbers with fractions across multiple skills. • **Comparing Fractions:** Evaluation sheets utilizing greater than, less than, and equal to symbols. • **Dividing Fractions:** Advanced worksheets dedicated to dividing standard fractions by whole numbers, unit fractions, and inverse fractions. • **Full Answer Keys:** Completely solved, line-by-line worked solutions for all 20 worksheets. ________________________________________ **Perfect Classroom Use Cases** • Daily Math Warm-Ups or Bell Ringers • Independent Classwork Booklets • Small Group Guided Math / Intervention Groups • Homework Assignments • Emergency Cover Work / Supply Teaching Plans ________________________________________ **Curriculum Standards Covered (UK National Curriculum)** • **Year 5 Math:** Compare and order fractions whose denominators are all multiples of the same number. Add and subtract fractions with the same denominator and denominators that are multiples of the same number. • **Year 6 Math:** Compare and order fractions, including fractions > 1. Add and subtract fractions with different denominators and mixed numbers. Multiply simple pairs of proper fractions. Divide proper fractions by whole numbers. • **KS3 Maths:** Consolidate numerical work with fractions and understand the standard algorithms for addition, subtraction, multiplication, and division. ________________________________________

£17.90
Bundle

Equivalent Fractions, Simplifying & Converting Worksheet Bundle

A collection of 7 worksheets on fractions, mixed numbers, percentages and decimals. The following topics are included: fraction comparison, equivalent fractions, fraction operations (addition, subtraction, multiplication and division), conversions between improper fractions and mixed numbers and conversions between percentages, fractions and decimals. Detailed solutions are provided. Master equivalent fractions, simplifying, and format conversions with this comprehensive 7-worksheet arithmetic practice pack. Perfectly aligned with the UK National Curriculum for KS2 and KS3 (Years 4–7), this differentiated maths resource confidently guides students from basic fraction equivalence to complex decimal and percentage conversions. ________________________________________ Are you looking for a high-quality, time-saving resource to teach, reinforce, or review foundational fractions, decimals, and percentages? This complete arithmetic practice pack is sequentially designed to build student confidence, mathematical fluency, and absolute mastery over fractions. Featuring seven extensive worksheets with a clear, progressive learning structure, this resource makes classroom differentiation effortless for primary and secondary school maths teachers working with mixed-ability groups. **What is Included in This Bumper Pack?** This download contains seven separate practice sheets, structured progressively to scaffold learning: • **Worksheet 1 (Comparing Fractions):** Focuses on comparing standard proper fractions using greater than, less than, or equal to symbols by finding common denominators. • **Worksheet 2 (Equivalent Fractions - Basic missing values):** Builds fluency in recognizing scalar factors to solve missing numerators or denominators across equivalent fraction pairs. • **Worksheet 3 (Equivalent Fractions - Extended Multi-Ratio Chains):** Challenges students to fill in extended equivalent chains across multiple numerators and denominators simultaneously. • **Worksheet 4 (Core Operations Practice Pack):** Provides comprehensive calculation practice for adding, subtracting, multiplying, and dividing standard fractions. • **Worksheet 5 (Improper Fractions & Mixed Numbers):** Targets matching and converting between improper fractions and mixed numbers, including final answer simplifying. • **Worksheet 6 (Fractions, Decimals, & Percents Conversions):** Sharpens fluency by prompting students to convert numerical sets cleanly across all three mathematical formats. • **Worksheet 7 (Simplifying Fractions):** Dedicates targeted practice to finding highest common factors to cancel fractions down to their simplest form. • **Full Teacher Solutions:** Complete, step-by-step written answers are provided for every single question across all seven worksheets to support quick peer-marking, student self-assessment, or to save you valuable grading time. **Versatile Classroom Applications** This versatile bundle is highly adaptable and can be seamlessly integrated into your maths planning as: • Structured homework assignments to consolidate weekly learning. • Independent main-lesson practice during fraction, decimal, and percentage units. • Target math intervention, catch-up work, or small-group revision sessions. • Cover lessons, low-stakes quizzes, or end-of-term assessment preparation. **National Curriculum Alignment** This resource perfectly covers the fluency and reasoning proficiency requirements for Key Stage 2 and Key Stage 3 Mathematics, matching core numerical objectives: • **KS2/KS3 Maths:** Recognise and use fractions as numbers, write equivalent fractions, cancel down and simplify, convert between fractions, decimals and percentages, and calculate with proper fractions. ________________________________________

£5.90
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Algebra 1 / GCSE Math Worksheet Bundle | Algebra & Fractions Review

11 maths worksheets on the following topics: factorisation, expanding brackets, quadratic formula. improper fractions and mixed numbers and simultaneous equations. Detailed solutions are included. Master core maths concepts with this comprehensive, no-prep Algebra 1 / GCSE Math Worksheet Bundle | Algebra & Fractions Review! Aligned to Key Stage 3, Key Stage 4, and GCSE exam objectives, this extensive, ready-to-print resource packet covers expanding brackets, factorising quadratics, solving with the quadratic formula, rearranging formulas, and improper fraction conversions. Complete with detailed, step-by-step worked solutions, it is the ultimate time-saving tool for main lessons, homework, cover work, or revision sessions. ________________________________________ Are your secondary students struggling with equation manipulation, expanding expressions, or fractional operations? Simplify your mathematics lesson planning with this high-utility Algebra and Fractions Resource Pack. This bundle contains carefully structured worksheets designed to build computational confidence and arithmetic fluency across critical secondary maths benchmarks. Every single student problem page comes paired with a highly detailed, full-solution worked answer key that maps out the exact algebraic expansions, factorisations, rearrangements, or numeric conversions required to reach the correct answer. It is perfect for student self-assessment, small group intervention, homework packets, cover lessons, or fast and easy teacher marking! **What's Inside this Worksheet Pack?** • **Expanding Single Brackets:** Practice multiplying out terms over basic and complex bracketed variables, plus full expansions and simplifications. • **Expanding Double Brackets:** Multi-page progression practice focusing on multiplying two binomial expressions and combining like terms. • **Factorising Expressions:** Activities centred on finding highest common factors, factorising linear expressions, and factorising quadratic trinomials where the leading coefficient is equal to 1 or greater than 1. • **The Quadratic Formula:** Rigorous practice solving equations using the standard quadratic formula, including clean integer answers and problems requiring answers to two decimal places. • **Formulae and Equations:** Changing the subject of a formula, evaluating expressions given specific variable values, simplifying multi-term expressions, index laws, and solving linear equations. • **Improper Fractions & Mixed Numbers:** Matching matching sets, converting mixed numbers to improper fractions, and converting improper fractions to simplified mixed numbers to solidify number sense fluency. • **Teacher Answer Keys:** Complete, visual step-by-step worked solutions matching every single student worksheet page. **Why Teachers Love This Pack:** • **Zero Prep Required:** Just print out the PDF pages and you are ready to go! • **Scaffolded Progressions:** Skills move logically from basic numeric operations to complex multi-step algebraic rearrangements. • **Clean Layouts:** Generous workspace for students to neatly line up their math steps, columns, fractions, and working out. • **Detailed Worked Keys:** Perfect for leaving with cover teachers or distributing digitally for independent study guide use. **Curriculum Alignment:** • **UK National Curriculum (GCSE Maths):** Algebra Assessment Objectives A4 (Bracket Expansions/Factorising), A5 (Rearranging Formulae), and A18 (Quadratic Equations). • **International Frameworks:** Suitable for Year 8, Year 9, Year 10, and Year 11 mathematics classes, as well as foundation or higher-tier IGCSE revision.

£10.90
Bundle

5th Grade Mixed Numbers & Improper Fractions Worksheets Bundle

8 worksheets on mixed numbers including: converting mixed numbers to improper fractions and vice versa, adding, subtracting, multiplying and dividing mixed numbers.<br /> <br /> Master fractional calculation and conversions with this comprehensive Mixed Numbers & Improper Fractions Worksheets Bundle! Perfectly tailored for KS2 and KS3 (Years 5, 6, and 7), this 8-worksheet packet systematically covers converting fractions, matching mixed values, and practicing all four maths operations. Complete with clear, step-by-step teacher marking keys, it is ideal for independent practice, homework, or exam revision.<br /> ________________________________________<br /> Are your students struggling to bridge the gap between improper fractions and mixed numbers, or hitting a wall with fraction arithmetic?<br /> This no-prep maths worksheet bundle simplifies the learning curve. It offers progressive, scaffolded practice sheets to build true confidence with fraction conversions, simplifying values, and computing operations. Whether you need foundational placement work for Year 5 pupils or advanced computational practice for Year 6 SATs and Year 7 revision, these clean, distraction-free layouts keep students focused entirely on the mathematics.<br /> <br /> 🌟 What’s Included in This 8-Worksheet Bundle?<br /> • Worksheet 1: Matching Improper Fractions & Mixed Numbers – Visual matching drills to master part-to-whole relationships.<br /> • Worksheet 2: Mixed Numbers to Improper Fractions – Dedicated calculation grids to master the conversion process.<br /> • Worksheet 3: Improper Fractions to Mixed Numbers – Practice converting unsimplified values into neat mixed fractions.<br /> • Worksheet 4: Convert and Simplify Fractions – Advanced practice combining step-by-step fraction reduction with basic conversion mechanics.<br /> • Worksheet 5: Adding Mixed Numbers – Progressive arithmetic moving from common denominators to complex unlike denominators.<br /> • Worksheet 6: Subtracting Mixed Numbers – Focused practice including essential fraction borrowing/regrouping maneuvers.<br /> • Worksheet 7: Multiplying Mixed Numbers – Practice transforming terms to improper numbers before executing horizontal multiplication and cross-cancelling.<br /> • Worksheet 8: Dividing Mixed Numbers – Targeted calculation training utilizing the reciprocal "keep-change-flip" workflow.<br /> • Full Step-by-Step Answer Keys – Every single sheet comes with a matching solutions page showing the complete algebraic workflow for fast marking or student self-checking.<br /> <br /> 📝 Perfect For:<br /> • Morning starter work or independent daily seatwork<br /> • No-prep supply teacher lesson packets<br /> • Scaffolded homework assignments<br /> • Small group maths intervention or remediation<br /> • End-of-unit review or test preparation practice

£7.20
Bundle

Improper Fractions and Mixed Numbers Worksheets | 4th 5th Grade Math Practice

Three worksheets on converting improper fractions to mixed numbers and vice versa. Solutions are included. Master improper fractions and mixed numbers with this comprehensive, print-and-go worksheet pack! Perfect for Year 4, 5 and 6 maths lessons, homework, or independent revision, these pages feature scaffolded matching activities, conversions, and simplifying fractions with full answer keys. Looking for a ready-to-use, highly effective way to help your students master fractions greater than one? This comprehensive worksheet pack provides targeted, scaffolded practice for converting between improper fractions and mixed numbers. Whether your Year 4 students are learning the concept for the first time, or your Year 5/6 classes need a quick revision session before diving into adding and subtracting fractions, these resources offer the exact repetition needed to build maths fluency. With multiple formats ranging from visual matching to advanced simplification, this resource makes differentiation completely effortless! ________________________________________ **What’s Included in This Pack:** **Matching Activity** – A low-stakes matching exercise pairing mixed numbers with their corresponding improper fractions. **Mixed Numbers to Improper Fractions Practice** – Direct tasks to reinforce the multiplication and addition steps. **Improper Fractions to Mixed Numbers Practice** – Division-based exercises to help students comfortably extract whole numbers **Convert & Simplify Extensions** – Advanced practice requiring students to convert improper fractions into mixed numbers and simplify them. **Full Answer Keys** – Complete solutions for every single problem to save you hours of marking or to allow for student self-checking! ________________________________________ **Perfect For:** • Maths Rotations & Group Work • Independent Classwork or Morning Starters • Homework Assignments • Cover Lessons (completely self-contained!) • Formative Assessments or Exit Tickets ________________________________________ **Curriculum Links:** • National Curriculum (UK): Year 4, Year 5, and Year 6 Number – Fractions (including decimals and percentages). Perfect for teaching students to recognise and write equivalent fractions, and convert between improper fractions and mixed numbers. ________________________________________

£2.50
Bundle

Fractions Mega Bundle

A collection of 16 worksheets on fractions. The following topics are included: * Equivalent fractions * Comparing fractions * Simplifying fractions * Simplifying fractions (harder) * Equivalences between fractions, decimals and percentages * Improper fractions and mixed numbers * Adding fractions * Subtracting fractions * Multiplying fractions * Dividing fractions * Adding, subtracting, multiplying and dividing fractions and whole numbers * Addition between fractions and mixed numbers * Subtraction between fractions and mixed numbers * Multiplication of Fractions and Mixed Numbers * Division between fractions and mixed numbers * Adding three fractions Solutions are provided.

£11.90
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Fractions and mixed numbers worksheets (with solutions)

A collection of 18 worksheets on the following topics: adding, subtracting, multiplying and dividing fractions, fractions and mixed numbers and fractions and whole numbers, converting mixed numbers to improper fractions and vice versa. Detailed solutions are provided.

£12.90
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10 Worksheets on fractions (with solutions)

A collection of 10 worksheets on the following topics: equivalent fractions, comparing fractions, simplifying fractions, improper fractions and mixed numbers, adding fractions, subtracting fractions, multiplying fractions, dividing fractions, adding, subtracting, multiplying and dividing fractions and whole numbers and missing operations between fractions. Detailed solutions are included.

£6.95

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