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Chapter 1: Problem 5

Convert each mixed number to an improper fraction. $$8 \frac{7}{16}$$

Short Answer

Expert verified
The mixed number \(8 \frac{7}{16}\) converts to the improper fraction \(\frac{135}{16}\).

Step by step solution

01

Identify the components of the mixed number

In \(8 \frac{7}{16}\), the component parts are the whole number 8, the numerator 7 and the denominator 16.
02

Multiply the whole number by the denominator

Multiply the whole number 8 and the denominator 16, getting the result of 128.
03

Add the numerator to the result

Add the numerator's value 7 to the result from the previous step (128) giving us 135.
04

Write the result as the numerator over the original denominator

The result 135 becomes the numerator, and the original denominator, 16, remains as the denominator. This gives us the improper fraction \( \frac{135}{16} \)

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