Jenny's lawn is 1/3 of an acre. After moving 1/2 of the lawn, how much of an acre has she mowed?

A. 1/5
B. 1/6
C. 1/2
D. 2/5
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A leaking bucket is filled to 3/4 capacity. After some time, 1/2 of the water has leaked out. What fraction of the water leaked out of the bucket?

A. 1/4
B. 2/3
C. 3/8
D. 3/16
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Mike plans to run 7/8 mile. He begins running, But 2/3 of the way he pulls a hamstring muscle what fraction of a mile did he run?

A. 7/12
B. 14/25
C. 10/11
D. 7/11

I know for sure the first one is 1/6 but I'm not for sure on the rest

To answer each question, we need to perform some fraction calculations. Let's go through each question and explain how to get the answer.

1. Jenny's lawn is 1/3 of an acre. After moving 1/2 of the lawn, how much of an acre has she mowed?

To solve this, we need to find half of 1/3. To find half of a fraction, we divide the numerator (top number) by 2 and keep the same denominator (bottom number). Therefore, half of 1/3 is calculated as (1/2) * (1/3) = 1/6.

So, Jenny has mowed 1/6 of an acre. The answer is option B: 1/6.

2. A leaking bucket is filled to 3/4 capacity. After some time, 1/2 of the water has leaked out. What fraction of the water leaked out of the bucket?

To find the fraction of water that leaked out, we need to multiply the fraction of the water that leaked by the fraction of the water that was initially in the bucket. Therefore, the calculation is (1/2) * (3/4) = 3/8.

So, 3/8 of the water leaked out of the bucket. The answer is option C: 3/8.

3. Mike plans to run 7/8 mile. He begins running, but 2/3 of the way he pulls a hamstring muscle. What fraction of a mile did he run?

To find the fraction of a mile that Mike ran, we need to subtract the fraction of the distance he couldn't run due to his injury from the initial fraction of the distance he planned to run. The calculation is (7/8) - (2/3).

To subtract fractions, we need a common denominator. In this case, we'll use 24 as the common denominator. Multiplying the numerators and denominators by the appropriate values to get the common denominator, the calculation becomes (21/24) - (16/24) = 5/24.

So, Mike ran 5/24 of a mile. The answer is not provided among the options, so none of the options is correct.

Note: Make sure to check if any of the available options matches the calculated answer before concluding that none of the options is correct.

All of your answers are wrong.

Study this site.

https://www.mathsisfun.com/fractions_multiplication.html

my answers were A B B