Question

Solve for rr and simplify your answer.
start fraction, 5, divided by, 2, end fraction, r, equals, 14
2
5
​
r=
14

Answer 1

To solve the equation \(\frac{5}{2} r = 14\), we need to isolate \(r\).

1. Start with the equation:
\[
\frac{5}{2} r = 14
\]

2. To remove the fraction, multiply both sides by the reciprocal of \(\frac{5}{2}\), which is \(\frac{2}{5}\):
\[
r = 14 \times \frac{2}{5}
\]

3. Now perform the multiplication:
\[
r = \frac{14 \times 2}{5} = \frac{28}{5}
\]

So, the answer is:
\[
\boxed{\frac{28}{5}}
\]