Grade DE Compare fractions decimals and percentages Compare

Grade D/E Compare fractions, decimals and percentages Compare quantities by calculating equivalent fractions, decimals and percentages If you have any questions regarding these resources or come across any errors, please contact helpful-report@pixl. org. uk

Key Vocabulary Fractions Decimals Percentages

How to compare decimals, fractions and percentages Percentage Decimal out of 100 54 27 = 100 50 out of 100 3_ 100 54% 0. 54 x 100 3% 0. 03 x 100 Fraction

How to compare decimals, fractions and percentages Percentage 75% ÷ 100 8% ÷ 100 Decimal 0. 75 0. 08 Fraction out of 100 75 3 = 100 4 out of 100 8 2 = 100 25

How to compare decimals, fractions and percentages Fraction 4 = 40 10 100 7 = 28 25 100 numerator Percentage 40% ÷ 100 28% ÷ 100 Decimal 0. 4 0. 28

Compare decimals, fractions and percentages – Now you try … 1) Write a) 26% as fraction and decimal b) 0. 56 as percentage and fraction in its simplest form c) 0. 03 as percentage and fraction in its simplest form d) 2/5 as percentage and decimal 2) Order the following numbers, smallest first 0. 23, ¼, 24%

Compare decimals, fractions and percentages – Now you try … 1) Write a) 26% as fraction and decimal 26/100 = 13/50 0. 26 b) 0. 56 as percentage and fraction in its simplest form 56% 56/100 = 14/25 c) 0. 03 as percentage and fraction in its simplest form 3% 3/100 d) 2/5 as percentage and decimal 40% 0. 4 0. 23 0. 24 2) Order the following numbers, smallest first 0. 23, ¼, 24% 0. 25

Problem Solving and Reasoning Celine has £ 48 to spend on food and clothes. She wants to spend more on food. Should she spend 3/8 or 0. 4 of her money on food? If she spends 3/8 on food => 3/8 x £ 48 = £ 18 If she spends 0. 4 on food => 0. 4 x £ 48 = £ 19. 20 She should spend 0. 4 of her money on food

Problem Solving and Reasoning Ben, Jake and Rachel have solved a problem. Ben’s answer is 0. 33, Jake’s answer is 1/3 and Rachel’s answer is 6/20. The correct answer is 0. 29. Whose answer is closest to the correct answer? Ben => 0. 33 Jake => 1/3 = 0. 33333… Rachel => 6/20 = 3/10 = 0. 3 0. 29 < 0. 3333…. Rachel’s answer is closest.

Reason and explain • How do you compare a fraction to a decimal or percentage? • Which of the below is a better discount? 32% off 1/5 off • Which below is better value for money? 38% off pay 3/5 of ticket price