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