Solve 81.5%text{of}71?

$$81.5 \% \text { of } 71 ?$$

Evaluate

$$57.865$$

Solution Steps

Expand \frac{81.5}{100} by multiplying both numerator and the denominator by 10.

$$\frac{815}{1000}\times 71$$

Reduce the fraction \frac{815}{1000} to lowest terms by extracting and canceling out 5.

$$\frac{163}{200}\times 71$$

Express \frac{163}{200}\times 71 as a single fraction.

$$\frac{163\times 71}{200}$$

Multiply 163 and 71 to get 11573.

$$\frac{11573}{200}$$

Factor

$$\frac{71 \cdot 163}{2 ^ {3} \cdot 5 ^ {2}} = 57\frac{173}{200} = 57.865$$