Armed Forces Classification Test (AFCT) Arithmetic Reasoning Practice Test 2025 - Free AFCT Practice Questions and Study Guide

Question: 1 / 400

If you read 20 pages of a 200-page book, what fraction of the book have you read?

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To determine the fraction of the book that has been read, you take the number of pages read and divide it by the total number of pages in the book. In this case, if you have read 20 pages of a 200-page book, you set up the fraction as follows:

\[

\text{Fraction read} = \frac{\text{Pages read}}{\text{Total pages}} = \frac{20}{200}

\]

When you simplify this fraction, you find that both the numerator and the denominator can be divided by 20:

\[

\frac{20 \div 20}{200 \div 20} = \frac{1}{10}

\]

Thus, the fraction of the book that has been read is \( \frac{1}{10} \). This means that if the book were divided into 10 equal parts, only one of those parts has been read.

This calculation clearly matches the answer provided, reinforcing the understanding of how to convert a part of a whole into a fraction.

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