Percent and fractions: Comparing fractions and percentages

Percent and fractions are very useful to know when dealing with money or sales. 50% is equal to a half. 25% is equal to a quarter. 1% is equal to a hundredth.

Quick tips for tutors

  • Comparing fractions and percentages includes:

  • Explanation of the equivalent relationship between fractions, decimals and percentage

  • Related key vocabulary

  • Process of converting between fractions, decimals and percentages

  • Practical examples of using conversion to solve problems in everyday contexts

  • Activities to practise comparing fractions, decimals and fractions

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Downloadable Factsheets

Entry 1 & 2 - Half price sale

An introduction to half price sales.

Entry 1 & 2 - Half price sale

Entry 3 - Fractions, decimals and percentages glossary

Summary of the main words used in discussing fractions, decimals and percentage, includes definitions.

Entry 3 - Fractions, decimals and percentages glossary

Entry 3 - Common unit fractions as percentages

How to recognise unit fractions and convert them into percentages.

Entry 3 - Common unit fractions as percentages

Entry 3 - Changing percentages to fractions

How to convert percentages to fractions.

Entry 3 - Changing percentages to fractions

Entry 3 - Common fractions as decimals and percentages

Summary of the correspondence between fractions, decimals and percentages.

Entry 3 - Common fractions as decimals and percentages

Entry 3 - Fractions that have the same value

How to recognise equivalent fractions and convert to them using division and multiplication.

Entry 3 - Fractions that have the same value

Level 1 - Changing decimals to percentages using fractions

How to convert decimals to percentages with fractions.

Level 1 - Changing decimals to percentages using fractions

Level 1 - Changing decimals to percentages using multiplication

How to convert decimals to percentages by multiplying.

Level 1 - Changing decimals to percentages using multiplication

Level 1 - Changing fractions to decimals using division

How to convert fractions to decimals by dividing.

Level 1 - Changing fractions to decimals using division

Level 1 - Changing percentages to decimals using fractions

How to convert percentages to decimals with fractions.

Level 1 - Changing percentages to decimals using fractions

Level 1 - Changing percentages to decimals using division

How to convert percentages to decimals by dividing.

Level 1 - Changing percentages to decimals using division

Level 1 - Decimals and percentages

Summary of the equivalence between decimals and percentages.

Level 1 - Decimals and percentages

Level 1 - Fractions and decimals

Summary of the equivalence between fractions and decimals.

Level 1 - Fractions and decimals

Level 1 - Fractions, decimals and percentages

How to write probabilities using fractions, decimals and percentages, and how to convert from one to another

Level 1 - Fractions, decimals and percentages

Level 1- Changing fractions to decimals using equivalent fractions

How to convert fractions to decimals with equivalent fractions.

Level 1- Changing fractions to decimals using equivalent fractions

Downloadable Worksheets

Entry 1 & 2 - Money fractions and percentages

An activity in matching the fraction or percentage to the correct value in coins.

Entry 1 & 2 - Money fractions and percentages

Entry 3 - Halves and quarters: matching activity

Exercise in pairing up halves, quarters and their percent equivalents with amounts of money.

Entry 3 - Halves and quarters: matching activity

Entry 3 - Practising one tenth and ten percent

Exercise in working with equivalent fractions.

Entry 3 - Practising one tenth and ten percent

Level 1 - Comparing decimals and percentages

Exercise in changing decimals to percentages and percentages to decimals.

Level 1 - Comparing decimals and percentages

Level 1 - Comparing fractions and decimals: money

Exercise in calculating equivalent fractions and decimals in the context of pounds and pence.

Level 1 - Comparing fractions and decimals: money

Level 1 - Comparing fractions and decimals: place value

Exercise in expressing decimals as fractions or mixed numbers, simplifying if possible.

Level 1 - Comparing fractions and decimals: place value

Level 1 - Comparing fractions and decimals: shapes

Exercise in expressing the shaded areas of shapes as fractions and decimals.

Level 1 - Comparing fractions and decimals: shapes

Level 1 - Comparing fractions and percentages with money

Exercise in recognising the correspondence between fractions and percentages in the context of money.

Level 1 - Comparing fractions and percentages with money

Level 1 - Comparing fractions and decimals

Exercise in changing fractions to decimals and decimals to fractions.

Level 1 - Comparing fractions and decimals

Level 1 - Dividing up food

Exercise in calculating fractions and percentages of whole numbers.

Level 1 - Dividing up food

Level 1 - Problem solving with fractions, decimals and percentages

Exercise in resolving word problems using fractions, decimals and percentages.

Level 1 - Problem solving with fractions, decimals and percentages

Level 1 - Comparing prices in two shop sales

Exercise in working with fractions and percentages to find the best monetary value.

Level 1 - Comparing prices in two shop sales

Level 1 - Comparing fractions and percentages

Exercise in changing fractions to percentages and percentages to fractions.

Level 1 - Comparing fractions and percentages

Level 1 - Calculating savings

Exercise in working out the cost of sale items using fractions and percentages.

Level 1 - Calculating savings
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