Solve 0,202-0,004/frac{8{9}*81*0,125}

$$\frac { 0,202 - 0,004 } { \frac { 8 } { 9 } \cdot 81 \cdot 0,125 }$$

Evaluate

$$0,022$$

Solution Steps

Subtract 0,004 from 0,202 to get 0,198.

$$\frac{0,198}{\frac{8}{9}\times 81\times 0,125}$$

Express \frac{8}{9}\times 81 as a single fraction.

$$\frac{0,198}{\frac{8\times 81}{9}\times 0,125}$$

Multiply 8 and 81 to get 648.

$$\frac{0,198}{\frac{648}{9}\times 0,125}$$

Divide 648 by 9 to get 72.

$$\frac{0,198}{72\times 0,125}$$

Multiply 72 and 0,125 to get 9.

$$\frac{0,198}{9}$$

Expand \frac{0,198}{9} by multiplying both numerator and the denominator by 1000.

$$\frac{198}{9000}$$

Reduce the fraction \frac{198}{9000} to lowest terms by extracting and canceling out 18.

$$\frac{11}{500}$$

Factor

$$\frac{11}{2 ^ {2} \cdot 5 ^ {3}} = 0.022$$