Fractions Knowledge-Based Practice

Questions

1. 1.

   Which statement correctly compares the unit fractions $\frac{1}{5}$ and $\frac{1}{8}$?

   • A) $\frac{1}{5} < \frac{1}{8}$ because 5 is less than 8.
   • B) $\frac{1}{5} = \frac{1}{8}$ because both fractions have a numerator of 1.
   • C) $\frac{1}{5} < \frac{1}{8}$ because eighths are larger than fifths.
   • D) $\frac{1}{5} > \frac{1}{8}$ because dividing a whole into fewer equal parts makes each part larger.
2. 2.

   Which statement correctly compares the fractions $\frac{2}{3}$ and $\frac{5}{8}$ using equivalent fractions?

   • A) $\frac{2}{3} > \frac{5}{8}$ because $\frac{2}{3} = \frac{16}{24}$ and $\frac{5}{8} = \frac{15}{24}$, and $\frac{16}{24} > \frac{15}{24}$
   • B) $\frac{2}{3} < \frac{5}{8}$ because the numerator 2 is less than 5 and the denominator 3 is less than 8
   • C) $\frac{2}{3} < \frac{5}{8}$ because $\frac{2}{3} = \frac{14}{24}$ and $\frac{5}{8} = \frac{15}{24}$, and $\frac{14}{24} < \frac{15}{24}$
   • D) $\frac{2}{3} > \frac{5}{8}$ because a denominator of 3 always makes a fraction larger than a denominator of 8
3. 3.

   Which fraction is equivalent to $\frac{3}{4}$ and correctly located to the right of $\frac{5}{8}$ on a number line?

   • A) $\frac{6}{8}$
   • B) $\frac{4}{8}$
   • C) $\frac{9}{16}$
   • D) $\frac{6}{12}$

Answers and step-by-step solutions appear after you finish the test.