Fractions Word Problems Quiz

If 1/3 of a sum of money is $21, the sum of money is $_____

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3/5 of a group of children were girls. If there were 24 girls, there were _____ children in the group.

Answer explanation

If 3/5 of the group were girls and there were 24 girls, then the total number of children in the group is 24 / (3/5) = 40. Therefore, the correct answer is 40.

Bill had some stamps. He gave 2/5 of them to Tim. If he gave 14 stamps to Tim, how many stamps had Bill at first?

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• 35

• 28

• 20

• 25

Answer explanation

To find the total number of stamps Bill had at first, we can set up the equation (2/5)x = 14, where x represents the total number of stamps. Solving for x gives us x = 35. Therefore, Bill had 35 stamps at first.

Lionel bought 30 pizzas and burgers altogether. 2/5 of the food bought were pizzas. How many burgers did he buy?

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• 12

• 18

• 20

• 24

Answer explanation

Since 2/5 of the food bought were pizzas, the remaining 3/5 were burgers. Therefore, Lionel bought 3/5 * 30 = 18 burgers.

Grace thought that a plane journey would take 7/10 h but the actual journey took 1/5 h longer. How long did the actual journey take?

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• 9/10 h

• 1 h

• 11/10 h

• 6/5 h

Timothy took 2/3 h to paint a portrait. This was 1/3 h shorter than the time he took to paint scenery. How long did he take to paint scenery?

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• 1 hour

• 1/2 hour

• 1 1/3 hours

• 1/3 hour

Answer explanation

Timothy took 2/3 h to paint a portrait, which was 1/3 h shorter than the time for scenery. So, he took 1 hour to paint scenery (2/3 + 1/3 = 1).

A craft store has a 9 yd spool of ribbon. In the morning, a customer buys 1/5 yd of ribbon from the spool. In the afternoon another customer buys 7/10 yd of ribbon from the spool. How much ribbon is left?

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• 7.3 yd

• 8.1 yd

• 7.5 yd

• 8.5 yd

Answer explanation

The

Kayla counted her Halloween treats. She counted 1/4 of a pound of lollipops and 2/7 of a pound of gobstoppers. She also counted 1/3 of a pound of mints. How many pounds of candy did Kayla have altogether?

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• 1/2 pound

• 1 pound

• 73/84 pounds

• 1 1/84 pounds

Answer explanation

To find the total weight, add the fractions: 1/4 + 2/7 + 1/3 = 21/84 + 24/84 + 28/84 = 73/84.

Sean has 63 classical songs in his mp3 player. That is 7/8 of his entire collection. How many songs does Sean have altogether?

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• 72

• 80

• 64

• 56

Answer explanation

Sean has 63 songs, which is 7/8 of his collection. To find the total, we divide 63 by 7/8 (or multiply by 8/7) to get 72 songs in total. Therefore, the correct answer is 72.

Philip purchased 1/4 pound of fruit. He ate half of the fruit after lunch. How much fruit did Philip eat?

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• 1/8 pound

• 1/4 pound

• 1/2 pound

• 3/4 pound

Answer explanation

Philip ate 1/4 pound * 1/2 = 1/8 pound of fruit after lunch.