Question

7/2÷17/16 = ?
(1 point)
Responses

56/17
56 over 17

112/17
112 over 17

7/17
7 over 17

34/112
34 over 112
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Answer 1

To solve \( \frac{7}{2} \div \frac{17}{16} \), you can multiply by the reciprocal of the divisor:

\[
\frac{7}{2} \div \frac{17}{16} = \frac{7}{2} \times \frac{16}{17}
\]

Now, multiply the numerators and the denominators:

\[
\frac{7 \times 16}{2 \times 17} = \frac{112}{34}
\]

Now, simplify \( \frac{112}{34} \) by dividing by their greatest common divisor, which is 2:

\[
\frac{112 \div 2}{34 \div 2} = \frac{56}{17}
\]

So, the answer is \( \frac{56}{17} \) or "56 over 17."