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- Fractions - converting
Equivalent fractions
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Equivalent fractions have different numerators and denominators but equal value. Students must find the missing numerator or denominator to make the fractions in each problem equal.
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Finding equivalent fractions and simplifying fractions
Spine 3: Fractions – Topic 3.7
Introduction
Discover how equivalent fractions have the same proportional relationship between the numerator and denominator, and therefore have the same numerical value. Convert between equivalent fractions and simplify fractions.
Teaching points
- Teaching point 1 : When two fractions have different numerators and denominators to one another but share the same numerical value, they are called ‘equivalent fractions’.
- Teaching point 2 : Equivalent fractions share the same proportional (multiplicative) relationship between the numerator and denominator. Equivalent fractions can be generated by maintaining that relationship through the process of multiplication and division.
- Teaching point 3 : Fractions can be simplified by dividing both the numerator and denominator by a common factor.
Teacher Guide
Representations, all year 5 files, related pages.
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Year 5 - Number
Standard 5.NS.1.4 - Find the equivalent fraction.
Included Skills:
Number - fractions (including decimals and percentages) • Pupils should be taught to: - compare and order fractions whose denominators are all multiples of the same number - identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths - recognise mixed numbers and improper fractions and convert from one form to the other and write mathematical statements > 1 as a mixed number [for example, 2/5 + 4/5 = 6/5 = 1 1/5] - add and subtract fractions with the same denominator and denominators that are multiples of the same number - multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams - read and write decimal numbers as fractions [for example, 0.71 = 10071] - recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents - round decimals with two decimal places to the nearest whole number and to one decimal place - read, write, order and compare numbers with up to three decimal places - solve problems involving number up to three decimal places - recognise the per cent symbol (%) and understand that per cent relates to 'number of parts per hundred', and write percentages as a fraction with denominator 100, and as a decimal - solve problems which require knowing percentage and decimal equivalents of 1/2, 1/4, 1/5, 2/5, 4/5 and those fractions with a denominator of a multiple of 10 or 25.
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Equivalent Fractions Word Problems Worksheets
- Pre-Algebra >
- Fractions >
- Equivalent >
Explore our equivalent fraction word problems worksheets packed with real-life scenarios, from baking delicious treats to planning colorful quilts, each word problem presents a unique challenge that encourages critical thinking and problem-solving skills. Our equivalent fractions word problems with answer keys are ideal for grade 3, grade 4, and grade 5 kids. Use our free worksheet for a head start.
Are the Fractions Equivalent or Not Equivalent?
Riley drank 7/10 of a cup of iced coffee, and Meghan drank 4/5 of a cup. Did they drink the same amount of iced coffee? Master the art of fraction comparison and equivalence with word problems like these.
Finding the Missing Number in Equivalent Fractions Using Models
Transform your curious children into confident problem solvers, as they employ models representing fractions, and find the missing component to complete the equivalent fractions.
Completing Equivalent Fractions
The task in these PDF worksheets is for children to skim through the word problems and write the missing fraction component.
Related Printable Worksheets
▶ Equivalent Fractions Using Visual Models
▶ Equivalent Fractions on a Number Line
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Year 5 Fractions: Identify and Find Equivalent Fractions
Subject: Mathematics
Age range: 7-11
Resource type: Worksheet/Activity
Last updated
27 February 2024
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Year 5 Fractions Identify and Find Equivalent Fractions
This Year 5 Fractions Identify and Find Equivalent Fractions Question Set covers the national curriculum objective to identify and find equivalent fractions of a given fraction, including tenths and hundredths.
Registering for an LbQ account will give you access to the questions included in this resource and many 1,000s more. These 5 questions are a small selection from a much bigger Question Set of the same topic; they can be used as a teaching starter, plenary or activity for pupils. It is designed to provide teachers a taste of what our content is all about.
LbQ Maths Question Sets are based around the principles of mastery and have been developed by teachers and subject matter experts. Each Question Set targets a curriculum objective, though some objectives need more than one set, and has been guided by the White Rose Maths curriculum breakdown.
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