Question

write \\(\frac{61}{125}\\) with denominator 1000. then, write the fraction as a decimal.

Explanation:

Step1: Find multiplier for denominator

To change the denominator from 125 to 1000, we find what number multiplied by 125 gives 1000. Let \( x \) be that number: \( 125x = 1000 \), so \( x=\frac{1000}{125}=8 \).

Step2: Multiply numerator and denominator

Multiply both numerator and denominator of \( \frac{61}{125} \) by 8: \( \frac{61\times8}{125\times8}=\frac{488}{1000} \).

Step3: Convert fraction to decimal

A fraction with denominator 1000 can be written as a decimal by moving the decimal point three places to the left in the numerator. So \( \frac{488}{1000}=0.488 \).

Answer:

The fraction with denominator 1000 is \(\frac{488}{1000}\) and the decimal is \(0.488\).