Understanding fractions

Question 1

Sam and Priya are sharing 63 marbles in the ratio 2 : 7. After they receive their shares, Sam gives 5 marbles to Priya. How many marbles does Priya have now?

Accepted Answer

54

Answer

49

Answer

44

Answer

55

Question 2

Tom gets twice as many sweets as Sam, and Sam gets three times as many sweets as Jo. If there are 30 sweets altogether, how many sweets does each child get?

Accepted Answer

Tom 18, Sam 9, Jo 3

Answer

Tom 12, Sam 6, Jo 2

Answer

Tom 15, Sam 10, Jo 5

Answer

Tom 20, Sam 6, Jo 4

Question 3

A pizza shop makes 150 slices for two delivery drivers, Alex and Sam, who will split the slices in the ratio 2 : 3. Which statement correctly explains the fraction of the total slices that Alex will receive?

Accepted Answer

The ratio 2 : 3 tells us the total is divided into 2 + 3 = 5 equal parts; Alex gets 2 of those parts, so he receives 2/5 of all the slices.

Answer

Since the ratio is 2 : 3, Alex gets 2/3 of the slices.

Answer

First find the total number of parts: 2 × 3 = 6. Alex gets 2 of those 6 parts, so his share is 2/6 = 1/3 of the slices.

Answer

Convert the ratio to a decimal (2 ÷ 3 = 0.666…) and that decimal represents Alex’s fraction of the total slices.

Try three questions

Sam and Priya are sharing 63 marbles in the ratio 2 : 7. After they receive their shares, Sam gives 5 marbles to Priya. How many marbles does Priya have now?

Tom gets twice as many sweets as Sam, and Sam gets three times as many sweets as Jo. If there are 30 sweets altogether, how many sweets does each child get?

A pizza shop makes 150 slices for two delivery drivers, Alex and Sam, who will split the slices in the ratio 2 : 3. Which statement correctly explains the fraction of the total slices that Alex will receive?

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