To determine which fraction is equivalent to \( \frac{3}{8} \), we can cross-multiply and see if any of the options yield the same value.
Let's compare \( \frac{3}{8} \) to each of the options:
a. \( \frac{2}{7} \)
Cross-multiplying: \[ 3 \times 7 = 21 \] \[ 8 \times 2 = 16 \] Since \( 21 \neq 16 \), \( \frac{2}{7} \) is not equivalent.
b. \( \frac{9}{24} \)
Cross-multiplying: \[ 3 \times 24 = 72 \] \[ 8 \times 9 = 72 \] Since \( 72 = 72 \), \( \frac{9}{24} \) is equivalent to \( \frac{3}{8} \).
c. \( \frac{8}{3} \)
Cross-multiplying: \[ 3 \times 8 = 24 \] \[ 8 \times 8 = 64 \] Since \( 24 \neq 64 \), \( \frac{8}{3} \) is not equivalent.
d. \( \frac{5}{10} \)
Cross-multiplying: \[ 3 \times 10 = 30 \] \[ 8 \times 5 = 40 \] Since \( 30 \neq 40 \), \( \frac{5}{10} \) is not equivalent.
The only fraction that is equivalent to \( \frac{3}{8} \) is:
b. \( \frac{9}{24} \).
1 answer