Evaluate 5/2÷7/4

and simplify your answer completely.(1 point)
Responses

10/7
10 sevenths

9/9
9 ninths

12/6
12 sixths

35/8

1 answer

To evaluate \( \frac{5}{2} \div \frac{7}{4} \), you can multiply by the reciprocal of the second fraction:

\[ \frac{5}{2} \div \frac{7}{4} = \frac{5}{2} \times \frac{4}{7} \]

Now, multiply the numerators and the denominators:

\[ = \frac{5 \times 4}{2 \times 7} = \frac{20}{14} \]

Next, simplify the fraction \( \frac{20}{14} \) by finding the greatest common divisor (GCD) of 20 and 14, which is 2:

\[ \frac{20 \div 2}{14 \div 2} = \frac{10}{7} \]

Thus, the simplified answer is \( \frac{10}{7} \) or 10 sevenths.

The correct response is:

10/7
10 sevenths