Question

Write the following decimal as a fraction with a denominator of 32:

A) 79/250
B) 159/500
C) 53/200
D) 3169/10000

Answer 1

To convert a decimal to a fraction with a given denominator, count the number of decimal places, write the decimal as a fraction, and simplify if possible. The correct fraction for the given decimal is 53/200 with a denominator of 32.

Step-by-step explanation:

To convert a decimal to a fraction, follow these steps:

1. Count the number of decimal places in the given decimal.
2. Write the decimal as a fraction, where the numerator is the given decimal without the decimal point, and the denominator is 1 followed by the same number of zeros as the number of decimal places.
3. Simplify the fraction, if possible.

Let's apply these steps to the given decimal:

A) 79/250: This is not the correct fraction because the given decimal is 0.316 instead of 0.79. Let's move to the next option.

B) 159/500: This is not the correct fraction because the given decimal is 0.318 instead of 0.159. Let's move to the next option.

C) 53/200: This is the correct fraction. The given decimal, 0.265, has the same value as the fraction 53/200. This fraction is already simplified.

D) 3169/10000: This is not the correct fraction because the given decimal is 0.3169 instead of 3.169. Let's stick with option C, 53/200, as the correct fraction with a denominator of 32.