Using Fractions as Operators To use fractions as operators. 3 7 customers ate 8 of a pizza each. How much pizza was eaten altogether? × = The chef baked 12 blueberry pies. 5 She ate 6 of each pie to test them. How much pie was eaten altogether? of = 2 At the café, 6 children each ate 4 of their pancakes. How many pancakes were eaten altogether? 3 × 3 = The chef prepared 21 take-away meals. 2 He used 7 of a roll of cling film for each meal. How much cling film did he use altogether? of 1 The café dishwasher was used 15 times 4 in one day. It used 5 of a scoop of soap each time. How much soap was used altogether? of 5 = = The café owner created 10 new posters 3 for the cafe. She took 4 of an hour to make each poster. How much time did it take altogether? × 4 = visit twinkl.com 6 Using Fractions as Operators To use fractions as operators. 3 7 customers ate 8 of a pizza each. How much pizza was eaten altogether? 1 Write the problem using both × and ‘of’. Circle the calculation you use to work out the answer. × = of = The chef baked 12 blueberry pies. 5 She ate 6 of each pie to test them. How much pie was eaten altogether? = of 3 = The chef prepared 21 take-away meals. 2 He used 7 of a roll of cling film for each meal. How much cling film did he use altogether? 5 = of = = of = The café dishwasher was used 15 times 4 in one day. It used 5 of a scoop of soap each time. How much soap was used altogether? 4 Write the problem using both × and ‘of’. Circle the calculation you use to work out the answer. × Write the problem using both × and ‘of’. Circle the calculation you use to work out the answer. × Write the problem using both × and ‘of’. Circle the calculation you use to work out the answer. × Write the problem using both × and ‘of’. Circle the calculation you use to work out the answer. × 3 2 At the café, 6 children each ate 4 of their pancakes.How many pancakes were eaten altogether? = of = 6 The café owner created 10 new posters 3 for the cafe. She took 4 of an hour to make each poster. How much time did it take altogether? Write the problem using both × and ‘of’. Circle the calculation you use to work out the answer. × = of = visit twinkl.com Using Fractions as Operators To use fractions as operators. For each question, write the calculation using both × and ‘of’. Choose the correct method to calculate the answer and explain why you divided or multiplied. Two examples are given. The chef baked 20 cakes in a month. 5 She sold 6 of each cake. How much cake did she sell altogether? There are 48 cups in the café. 8 of them are dirty. How many cups need washing? 5 6 7 8 7 of 20 would be hard to calculate as 6 isn’t a factor of 20. 5 6 × 20 = 100 6 = 7 8 × 48 would be harder as it’s a large number to multiply. 4 166 3 7 customers ate 8 of a pizza each. How much pizza was eaten altogether? The chef baked 12 blueberry pies. 5 She ate 6 of each pie to test them. How much pie was eaten altogether? of 48 = 48 ÷ 8 × 7 = 42 1 3 3 At the café, 6 children each ate 4 of their pancakes. How many pancakes were eaten altogether? The café dishwasher was used 15 times 4 in one day. It used 5 of a scoop of soap each time. How much soap was used altogether? visit twinkl.com 2 4 Using Fractions as Operators The chef prepared 21 take-away meals. 5 2 He used 7 of a roll of cling film for each meal. How much cling film did he use altogether? 6 The café owner created 10 new posters 3 for the cafe. She took 4 of an hour to make each poster. How much time did it take altogether? The chef baked 280 cakes in a year. She 7 5 sold 7 of each cake. How much cake did she sell altogether? There were 30 plates used today in the 8 3 café. 9 fit into the dishwasher. How many plates is this? Now write 2 questions for your partner. One should be a problem which can be calculated by multiplying a fraction by an integer and the other should be solvable by finding a fraction of an amount. Don’t tell them which is which though! visit twinkl.com Using Fractions as Operators Answers 1. 2. 3 8 ×7= 3 8 ×7= 3 4 ×6= 3 4 3. ×6= 21 8 = 28 18 4 2 44 of 15 = 15 ÷ 5 = 3 3 × 4 = 12 5. 2 7 of 21 = 21 ÷ 7 = 3 3×2=6 6. 3 4 × 10 = 3 4 × 5 = 5 6 of 12 = 12 ÷ 6 = 2 2 × 5 = 10 4 5 4. 10 1 = 30 4 2 = 74 visit twinkl.com Using Fractions as Operators Answers 1. 2. 3. 3 8 ×7= 3 8 of 7 = 3 8 ×7= 3 4 ×6= 3 4 of 6 = 4. 21 8 3 4 18 4 ×6= 5 6 × 12 = 5 6 of 12 = 5 = 28 12 ÷ 6 = 2 2 × 5 = 10 × 15 = 4 5 of 15 = 15 ÷ 5 = 3 3 × 4 = 12 5. = 4 5 2 44 2 7 × 21 = 2 7 of 21 = 21 ÷ 7 = 3 3×2=6 6. 3 4 × 10 = 3 4 of 10 = 3 4 × 10 1 = 30 4 2 = 74 visit twinkl.com Using Fractions as Operators Answers 1. This question should be multiplied as 8 is not a factor of 7. 3 8 ×7= 21 8 5 = 28 2. This question should be multiplied as 4 is not a factor of 6. 3 4 ×6= 18 4 2 = 44 3. This question could be solved using either multiplication or division. 5 6 × 12 = 60 6 = 10 12 ÷ 6 = 2 2 × 5 = 10 4. This question could be solved using either multiplication or division. 4 5 × 15 = 60 5 = 12 6. This question should be multiplied as 4 is not a factor of 10. 3 4 × 10 = 30 4 2 = 74 7. This question is probably better solved by dividing then multiplying, as you’ll be working with smaller numbers 280 ÷ 7 = 40 40 × 5 = 200 8. This question should be multiplied as 9 is not a factor of 10. Some children may have mentally calculated that the question is 1 asking for 3 of 30, which they know is 10. 3 9 × 30 = 90 9 = 10 15 ÷ 5 = 3 3 × 4 = 12 5. This question could be solved using either multiplication or division. 2 7 × 21 = 42 7 =6 21 ÷ 7 = 3 3×2=6 visit twinkl.com