1.
Find -¼ of 3/8.
Correct Answer
B. -3/32
Explanation
To find one-fourth of three-eighths, we multiply the fraction 3/8 by 1/4. Multiplying the numerators gives us 3 * 1 = 3, and multiplying the denominators gives us 8 * 4 = 32. Therefore, one-fourth of three-eighths 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
The given expression is a multiplication of two mixed numbers. To multiply mixed numbers, we first convert them into improper fractions. Then, we multiply the numerators and denominators separately. Finally, we convert the resulting improper fraction back into a mixed number. In this case, 2 and 2/5 times 1 and 1/2 can be written as (12/5) * (3/2) = 36/10 = 3 and 3/5.
3.
Find -2/3 divided by -4/5.
Correct Answer
C. 5/6
Explanation
To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction. So, -2/3 divided by -4/5 can be written as (-2/3) * (5/-4). Simplifying this expression gives us -10/(-12), which can be further simplified to 5/6. Therefore, the correct answer is 5/6.
4.
Find half of
2 ¾.
Correct Answer
B. 1 and 3/8
Explanation
To find half of 2 ¾, we first convert the mixed number to an improper fraction. 2 ¾ is equal to 11/4. To find half of 11/4, we divide the numerator (11) by 2, which gives us 5.5. Therefore, half of 2 ¾ is equal to 5.5/4. We can convert this back to a mixed number, which is 1 and 3/8.
5.
1 and 5/7 divided by 1/2.
Correct Answer
A. 3 and 3/7
Explanation
When dividing a mixed number by a fraction, we can convert the mixed number into an improper fraction and then multiply it by the reciprocal of the fraction. In this case, 1 and 5/7 can be converted to the improper fraction 12/7. Dividing 12/7 by 1/2 is the same as multiplying 12/7 by 2/1, which gives us (12/7) * (2/1) = 24/7. The quotient 24/7 can be simplified to 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? Write the value as an integer.
Correct Answer
C. -$24
Explanation
Michal spent 3/5 of his earnings on a video game. Since his earnings were $40, we can calculate how much he spent by multiplying $40 by 3/5. The result is -$24, indicating that Michal spent $24 more than he earned.
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 fractions 2/5 and 1/3. When we multiply these fractions, we get (2/5) * (1/3) = 2/15. Therefore, his brother got 2/15 of the total pizza.
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 a 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. Therefore, 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 cups of sugar per batch.
Dividing 2 and 1/2 by 2/3, we can rewrite 2 and 1/2 as an improper fraction: 5/2.
Now, we can multiply the numerator of 5/2 by the reciprocal of 2/3, which is 3/2. This gives us (5/2) * (3/2) = 15/4, which is equal to 3 and 3/4.
Therefore, with 2 and 1/2 cups of sugar, you can make 3 and 3/4 batches of the recipe.
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 and used 2/3 of what they picked to make a cobbler. To find out how many pounds they used for the cobbler, we need to multiply 1/2 by 2/3. Multiplying the numerators gives us 1, and multiplying the denominators gives us 6. Therefore, the person used 1/6 pound of blueberries to make the cobbler.
11.
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