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

Explanation:

Step1: Find multiplier for denominator

We want to change the denominator of $\frac{61}{125}$ to 1000. Since $125\times8 = 1000$, we multiply numerator and denominator by 8.
$$\frac{61\times8}{125\times8}=\frac{488}{1000}$$

Step2: Convert to decimal

To convert $\frac{488}{1000}$ to a decimal, we know that dividing by 1000 moves the decimal point three places to the left. So, $\frac{488}{1000}=0.488$.

Answer:

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