Question
\( \frac{2}{7} \% \) of \( \$ 107.00 \) is how much? Round to two decimal places
Ask by Turner Marshall. in Canada
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( \$0.31 \)
Solution
1. Convert the percentage to a decimal:
\[
\frac{2}{7}\% = \frac{\frac{2}{7}}{100} = \frac{2}{700} = \frac{1}{350}.
\]
2. Multiply by the amount:
\[
\text{Result} = 107 \times \frac{1}{350} = \frac{107}{350}.
\]
3. Calculate the decimal value:
\[
\frac{107}{350} \approx 0.3057.
\]
4. Round to two decimal places:
\[
0.3057 \approx 0.31.
\]
The final answer is \$\(0.31\).
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Simplify this solution The Deep Dive
To find \( \frac{2}{7} \% \) of \( \$ 107.00 \), start by converting the percentage to a decimal. \( \frac{2}{7} \) can be roughly approximated to \( 0.2857 \), so \( \frac{2}{7} \% \) is \( 0.002857 \). Now multiply this decimal by \( 107.00 \): \[ 0.002857 \times 107 = 0.305999 \] Rounding this to two decimal places gives us \( 0.31 \). Therefore, \( \frac{2}{7} \% \) of \( \$ 107.00 \) is approximately \( \$ 0.31 \).
