1.
Find ¼ of 3/8.
Correct Answer
B. 3/32
Explanation
To find ¼ of 3/8, we multiply 3/8 by ¼. When we multiply the numerators (3 * 1) and the denominators (8 * 4), we get 3/32. Therefore, the correct answer is 3/32.
2.
2 and 2/5 times 1 and 1/2. Write your answer as a mixed number.
Correct Answer
A. 3 and 3/5
Explanation
To multiply mixed numbers, we first convert them to improper fractions. 2 and 2/5 can be written as 12/5, and 1 and 1/2 can be written as 3/2. Multiplying 12/5 and 3/2 gives us 36/10, which can be simplified to 3 and 3/5.
3.
Find 2/3 divided by 4/5.
Correct Answer
C. 5/6
Explanation
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. In this case, we have (2/3) divided by (4/5), which is the same as (2/3) multiplied by (5/4). Multiplying the numerators gives us 10, and multiplying the denominators gives us 12. Therefore, the result of the division is 10/12, which simplifies to 5/6.
4.
Find half of 2 ¾.
Correct Answer
B. 1 and 3/8
Explanation
To find half of 2 ¾, we divide it by 2. When we divide 2 by 2, we get 1. When we divide ¾ by 2, we get 3/8. Therefore, half of 2 ¾ is 1 and 3/8.
5.
1 and 5/7 divided by 1/2.
Correct Answer
A. 3 and 3/7
Explanation
To divide a mixed number by a fraction, we first convert the mixed number into an improper fraction. In this case, 1 and 5/7 can be written as (7/7 + 5/7) = 12/7. Then, we multiply the numerator of the improper fraction by the reciprocal of the divisor. The reciprocal of 1/2 is 2/1. So, (12/7) * (2/1) = 24/7. Finally, we convert the resulting improper fraction back into a mixed number, which is 3 and 3/7.
6.
Michal earned $40 last week. He spend 3/5 of his earnings on a video game. How much did he spend?
Correct Answer
C. $24
Explanation
Michal spent 3/5 of his earnings on a video game. To find out how much he spent, we need to calculate 3/5 of $40. To do this, we multiply $40 by 3/5, which gives us $24. Therefore, Michal spent $24 on the video game.
7.
Evan had 2/5 of a pizza left over. He gave 1/3 of the leftover pizza to his brother. How much of the total pizza did his brother get?
Correct Answer
B. 2/15
Explanation
Evan had 2/5 of a pizza left over. He gave 1/3 of the leftover pizza to his brother. To find out how much of the total pizza his brother got, we need to multiply the fraction of leftover pizza by the fraction given to his brother. Multiplying 2/5 by 1/3 gives us 2/15, which represents the fraction of the total pizza that his brother received.
8.
Emily divided 1/2 of a box of cereal evenly among 4 bowls. How much of the box if cereal did she pour in each bowl?
Correct Answer
C. 1/8 of the box
Explanation
Emily divided 1/2 of the box of cereal evenly among 4 bowls. To find out how much of the box of cereal she poured in each bowl, we need to divide 1/2 by 4. When we divide 1/2 by 4, we get 1/8, which means Emily poured 1/8 of the box of cereal in each bowl.
9.
You have 2 and 1/2 cups of sugar. A recipe calls for 2/3 of sugar. How many batches of the recipe can you make with the sugar you have?
Correct Answer
A. 3 and 3/4 batches
Explanation
To find out how many batches of the recipe can be made with 2 and 1/2 cups of sugar, we need to divide the total amount of sugar by the amount of sugar required for each batch. The recipe calls for 2/3 cup of sugar per batch. So, we can calculate it as 2 and 1/2 divided by 2/3. To divide a whole number by a fraction, we need to multiply the whole number by the reciprocal of the fraction. Therefore, 2 and 1/2 multiplied by 3/2 equals 3 and 3/4. Hence, we can make 3 and 3/4 batches of the recipe with the given amount of sugar.
10.
Last summer I picked 1/2 pound of blueberries. I used 2/3 of what I picked to make a cobbler and I froze the remaining blueberries. How many pounds did I use to make the cobbler?
Correct Answer
C. 1/3
Explanation
The question states that the person picked 1/2 pound of blueberries. They used 2/3 of what they picked to make a cobbler. To find the amount used for the cobbler, we need to multiply 1/2 by 2/3. When we multiply these fractions, we get 2/6. Simplifying 2/6, we get 1/3. Therefore, the person used 1/3 pound of blueberries to make the cobbler.