Solve 18/125-4/9div11/8=

$$\frac { 18 } { 125 } - \frac { 4 } { 9 } \div 1 \frac { 1 } { 8 } =$$

Evaluate

$$-\frac{2542}{10125}\approx -0.251061728$$

Solution Steps

Divide \frac{4}{9} by \frac{1\times 8+1}{8} by multiplying \frac{4}{9} by the reciprocal of \frac{1\times 8+1}{8}.

$$\frac{18}{125}-\frac{4\times 8}{9\left(1\times 8+1\right)}$$

Multiply 4 and 8 to get 32.

$$\frac{18}{125}-\frac{32}{9\left(1\times 8+1\right)}$$

Multiply 1 and 8 to get 8.

$$\frac{18}{125}-\frac{32}{9\left(8+1\right)}$$

Add 8 and 1 to get 9.

$$\frac{18}{125}-\frac{32}{9\times 9}$$

Multiply 9 and 9 to get 81.

$$\frac{18}{125}-\frac{32}{81}$$

Least common multiple of 125 and 81 is 10125. Convert \frac{18}{125} and \frac{32}{81} to fractions with denominator 10125.

$$\frac{1458}{10125}-\frac{4000}{10125}$$

Since \frac{1458}{10125} and \frac{4000}{10125} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1458-4000}{10125}$$

Subtract 4000 from 1458 to get -2542.

$$-\frac{2542}{10125}$$

Factor

$$-\frac{2542}{10125} = -0.25106172839506175$$