ALEKS Basic Math Placement Practice Test 2026 – Your All-in-One Guide to Mastering Assessment and Learning in Knowledge Spaces!

When calculating \((\frac{2}{7})^2\), you multiply the fraction by itself: \(\frac{2}{7} \times \frac{2}{7} = \frac{4}{49}\). In this context, both \(\frac{2}{7}\) and \(\frac{4}{49}\) are proper fractions, meaning they have numerators smaller than their denominators.

To understand the change in size for the fraction, it’s helpful to analyze the relationship between the original fraction and its squared value. The fraction \(\frac{2}{7}\) can be interpreted as a value less than 1, specifically about 0.2857. When squaring this fraction, the result \(\frac{4}{49}\) is also a proper fraction but represents a smaller quantity than \(\frac{2}{7}\). This is because squaring a number less than 1 results in a number that is closer to 0, thus reducing the value.

To visualize this further, consider that squaring a fraction reduces its value because both the numerator (2) and the denominator (7) contribute to a smaller result when multiplied. In terms of fractions, the result