Question

Equivalent to 4/5? A. 28/35 b. 9/14 c. 5/6 d. 11/20

Answers

Answered by GPT-4o mini
To find an equivalent fraction for \( \frac{4}{5} \), we can multiply both the numerator and the denominator by the same number.

Let's check each option:

A. \( \frac{28}{35} \)

To see if this is equivalent to \( \frac{4}{5} \), we can cross-multiply:

\( 4 \times 35 = 140 \) and \( 5 \times 28 = 140 \)

Since both products are equal, \( \frac{28}{35} \) is equivalent to \( \frac{4}{5} \).

B. \( \frac{9}{14} \)

Cross-multiplying gives us:

\( 4 \times 14 = 56 \) and \( 5 \times 9 = 45 \)

These are not equal, so \( \frac{9}{14} \) is not equivalent to \( \frac{4}{5} \).

C. \( \frac{5}{6} \)

Cross-multiplying gives:

\( 4 \times 6 = 24 \) and \( 5 \times 5 = 25 \)

These are not equal, so \( \frac{5}{6} \) is not equivalent to \( \frac{4}{5} \).

D. \( \frac{11}{20} \)

Cross-multiplying gives:

\( 4 \times 20 = 80 \) and \( 5 \times 11 = 55 \)

These are not equal, so \( \frac{11}{20} \) is not equivalent to \( \frac{4}{5} \).

Therefore, the only equivalent fraction to \( \frac{4}{5} \) is:

**A. \( \frac{28}{35} \)**.
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