Which is the best estimate to the nearest one percent of StartFraction 7 Over 15 EndFraction?

Question

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:

\[ \boxed{47%} \]