Question

A farmer watered 3/8 of a field. What percentage is equivalent to the fraction of the field the farmer watered?

A. 37.5%
B. 30%
C. 12.5%
D. 75%

Answer 1

To convert the fraction 3/8 to a percentage, divide 3 by 8 to get 0.375 and then multiply by 100 to get 37.5%. Thus, the equivalent percentage is 37.5%. Option A is the correct answer.

Step-by-step explanation:

The question asks to convert the fraction 3/8 into a percentage. To do so, we apply the concept that a percentage represents a number out of 100. The steps to convert a fraction to a percentage are as follows:

1. Convert the fraction to a decimal by dividing the numerator by the denominator.
2. Multiply the resulting decimal by 100 to convert it to a percentage.

Using this process:

1. Dividing 3 by 8 gives us 0.375.
2. Multiplying 0.375 by 100 gives us 37.5%

Therefore, the fraction 3/8 is equivalent to 37.5% when converted into a percentage. Option A is the correct answer.

To find what percentage is equivalent to the fraction of the field the farmer watered, we need to convert the fraction to a percentage.

The given fraction is 3/8. To convert it to a percentage, we divide the numerator (3) by the denominator (8) and multiply the result by 100.

So, (3 ÷ 8) × 100 = 37.5%

Therefore, Option A, 37.5%, is the correct answer.