Which fraction is equivalent to 5/7 ?(1 point) Responses 1021 10 over 21 1521 15 over 21 79 7 ninths 20/21

\( \frac{10}{21} \): This can be expressed as \( \frac{5 \times 2}{7 \times 3} \) which does not equal \( \frac{5}{7} \).
\( \frac{15}{21} \): 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 \( \frac{5}{7} \).
\( \frac{7}{9} \): This does not relate to \( \frac{5}{7} \).
\( \frac{20}{21} \): This also does not equal \( \frac{5}{7} \).

Question

Which fraction is equivalent to 5/7 ?(1 point) Responses  1021 10 over 21  1521 15 over 21  79 7 ninths  20/21

GPT-4o mini · Answer

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} $**.