Solve 99/100div2/5div19/10

$$\frac { 99 } { 100 } \div \frac { 2 } { 5 } \div 1 \frac { 9 } { 10 }$$

Evaluate

$$\frac{99}{76}\approx 1.302631579$$

Solution Steps

Divide \frac{\frac{99}{100}}{\frac{2}{5}} by \frac{1\times 10+9}{10} by multiplying \frac{\frac{99}{100}}{\frac{2}{5}} by the reciprocal of \frac{1\times 10+9}{10}.

$$\frac{\frac{99}{100}\times 10}{\frac{2}{5}\left(1\times 10+9\right)}$$

Express \frac{99}{100}\times 10 as a single fraction.

$$\frac{\frac{99\times 10}{100}}{\frac{2}{5}\left(1\times 10+9\right)}$$

Multiply 99 and 10 to get 990.

$$\frac{\frac{990}{100}}{\frac{2}{5}\left(1\times 10+9\right)}$$

Reduce the fraction \frac{990}{100} to lowest terms by extracting and canceling out 10.

$$\frac{\frac{99}{10}}{\frac{2}{5}\left(1\times 10+9\right)}$$

Multiply 1 and 10 to get 10.

$$\frac{\frac{99}{10}}{\frac{2}{5}\left(10+9\right)}$$

Add 10 and 9 to get 19.

$$\frac{\frac{99}{10}}{\frac{2}{5}\times 19}$$

Express \frac{2}{5}\times 19 as a single fraction.

$$\frac{\frac{99}{10}}{\frac{2\times 19}{5}}$$

Multiply 2 and 19 to get 38.

$$\frac{\frac{99}{10}}{\frac{38}{5}}$$

Divide \frac{99}{10} by \frac{38}{5} by multiplying \frac{99}{10} by the reciprocal of \frac{38}{5}.

$$\frac{99}{10}\times \frac{5}{38}$$

Multiply \frac{99}{10} times \frac{5}{38} by multiplying numerator times numerator and denominator times denominator.

$$\frac{99\times 5}{10\times 38}$$

Do the multiplications in the fraction \frac{99\times 5}{10\times 38}.

$$\frac{495}{380}$$

Reduce the fraction \frac{495}{380} to lowest terms by extracting and canceling out 5.

$$\frac{99}{76}$$

Factor

$$\frac{3 ^ {2} \cdot 11}{2 ^ {2} \cdot 19} = 1\frac{23}{76} = 1.3026315789473684$$