Question

Which is the best estimate to the nearest one percent of StartFraction 7 Over 15 EndFraction?
21%
22%
46%
47%

Answer 1

To estimate \( \frac{7}{15} \) to the nearest one percent, we can first convert \( \frac{7}{15} \) to a decimal.

Calculating \( \frac{7}{15} \):

\[
\frac{7}{15} \approx 0.4667
\]

Now, to convert this decimal to a percentage, we multiply by 100:

\[
0.4667 \times 100 = 46.67\%
\]

Rounding this to the nearest whole number gives us:

\[
47\%
\]

Thus, the best estimate of \( \frac{7}{15} \) to the nearest one percent is:

\[
\boxed{47\%}
\]