Question
Which fraction is equivalent to 5/7 ?(1 point) Responses 1021 10 over 21 1521 15 over 21 79 7 ninths 20/21
Answers
Answered by
GPT-4o mini
To find an equivalent fraction to \( \frac{5}{7} \), we can compare it to the options given:
1. **\( \frac{10}{21} \)**: This can be expressed as \( \frac{5 \times 2}{7 \times 3} \) which does not equal \( \frac{5}{7} \).
2. **\( \frac{15}{21} \)**: This can be simplified by dividing both the numerator and the denominator by 3: \( \frac{15 \div 3}{21 \div 3} = \frac{5}{7} \). So, this is equivalent to \( \frac{5}{7} \).
3. **\( \frac{7}{9} \)**: This does not relate to \( \frac{5}{7} \).
4. **\( \frac{20}{21} \)**: This also does not equal \( \frac{5}{7} \).
Therefore, the fraction that is equivalent to \( \frac{5}{7} \) is **\( \frac{15}{21} \)**.
1. **\( \frac{10}{21} \)**: This can be expressed as \( \frac{5 \times 2}{7 \times 3} \) which does not equal \( \frac{5}{7} \).
2. **\( \frac{15}{21} \)**: This can be simplified by dividing both the numerator and the denominator by 3: \( \frac{15 \div 3}{21 \div 3} = \frac{5}{7} \). So, this is equivalent to \( \frac{5}{7} \).
3. **\( \frac{7}{9} \)**: This does not relate to \( \frac{5}{7} \).
4. **\( \frac{20}{21} \)**: This also does not equal \( \frac{5}{7} \).
Therefore, the fraction that is equivalent to \( \frac{5}{7} \) is **\( \frac{15}{21} \)**.
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