Solve 3/2-5/100/{left(frac{4{5}right)}^-1}

$$\frac{ \frac{ 3 }{ 2 } - \frac{ 5 }{ 100 } }{ { \left( \frac{ 4 }{ 5 } \right) }^{ -1 } }$$

Evaluate

$$\frac{29}{25}=1.16$$

Solution Steps

Reduce the fraction \frac{5}{100} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{3}{2}-\frac{1}{20}}{\left(\frac{4}{5}\right)^{-1}}$$

Subtract \frac{1}{20} from \frac{3}{2} to get \frac{29}{20}.

$$\frac{\frac{29}{20}}{\left(\frac{4}{5}\right)^{-1}}$$

Calculate \frac{4}{5} to the power of -1 and get \frac{5}{4}.

$$\frac{\frac{29}{20}}{\frac{5}{4}}$$

Divide \frac{29}{20} by \frac{5}{4} by multiplying \frac{29}{20} by the reciprocal of \frac{5}{4}.

$$\frac{29}{20}\times \frac{4}{5}$$

Multiply \frac{29}{20} and \frac{4}{5} to get \frac{29}{25}.

$$\frac{29}{25}$$

Factor

$$\frac{29}{5 ^ {2}} = 1\frac{4}{25} = 1.16$$