Question
7/2÷17/16= ? Simplify if possible. (1 point) Responses 5617 56 over 17 11217 112 over 17 717 7 over 17 34112
Answers
GPT-4o mini
To solve the division \( \frac{7}{2} \div \frac{17}{16} \), we can rewrite it as follows:
\[
\frac{7}{2} \div \frac{17}{16} = \frac{7}{2} \times \frac{16}{17}
\]
Now, multiply the fractions:
\[
\frac{7 \times 16}{2 \times 17} = \frac{112}{34}
\]
Next, we can simplify \( \frac{112}{34} \) by finding the greatest common divisor (GCD) of 112 and 34, which is 2:
\[
\frac{112 \div 2}{34 \div 2} = \frac{56}{17}
\]
So, the simplified result of \( \frac{7}{2} \div \frac{17}{16} \) is
\[
\frac{56}{17}
\]
Thus, the correct answer is \( \frac{56}{17} \).
\[
\frac{7}{2} \div \frac{17}{16} = \frac{7}{2} \times \frac{16}{17}
\]
Now, multiply the fractions:
\[
\frac{7 \times 16}{2 \times 17} = \frac{112}{34}
\]
Next, we can simplify \( \frac{112}{34} \) by finding the greatest common divisor (GCD) of 112 and 34, which is 2:
\[
\frac{112 \div 2}{34 \div 2} = \frac{56}{17}
\]
So, the simplified result of \( \frac{7}{2} \div \frac{17}{16} \) is
\[
\frac{56}{17}
\]
Thus, the correct answer is \( \frac{56}{17} \).