Assessment and Learning in Knowledge Spaces (ALEKS) Basic Math Placement Practice Test

What is the result of squaring the numerator and denominator of the fraction (2/7)?

1. 2/7

2. 4/49

3. 14/49

4. 8/49

The correct answer is: 4/49

Squaring both the numerator and the denominator of the fraction \( \frac{2}{7} \) involves taking each component to the power of two. The numerator is 2, so when squared, it becomes \( 2^2 = 4 \). The denominator is 7, and when squared, it becomes \( 7^2 = 49 \). Now, we can combine these squared values to form a new fraction: \[ \frac{2^2}{7^2} = \frac{4}{49} \] This shows clearly that the correct outcome of squaring the numerator and denominator of the fraction \( \frac{2}{7} \) is indeed \( \frac{4}{49} \). Thus, this confirms that the correct answer is accurately identified.