Solve 144div95%div80%

$$144 \div 95 \% \div 80 \%$$

Evaluate

$$\frac{3600}{19}\approx 189.473684211$$

Solution Steps

Divide \frac{144}{\frac{95}{100}} by \frac{80}{100} by multiplying \frac{144}{\frac{95}{100}} by the reciprocal of \frac{80}{100}.

$$\frac{144\times 100}{\frac{95}{100}\times 80}$$

Multiply 144 and 100 to get 14400.

$$\frac{14400}{\frac{95}{100}\times 80}$$

Reduce the fraction \frac{95}{100} to lowest terms by extracting and canceling out 5.

$$\frac{14400}{\frac{19}{20}\times 80}$$

Express \frac{19}{20}\times 80 as a single fraction.

$$\frac{14400}{\frac{19\times 80}{20}}$$

Multiply 19 and 80 to get 1520.

$$\frac{14400}{\frac{1520}{20}}$$

Divide 1520 by 20 to get 76.

$$\frac{14400}{76}$$

Reduce the fraction \frac{14400}{76} to lowest terms by extracting and canceling out 4.

$$\frac{3600}{19}$$

Factor

$$\frac{2 ^ {4} \cdot 3 ^ {2} \cdot 5 ^ {2}}{19} = 189\frac{9}{19} = 189.47368421052633$$