Solve 0.8-8/15div22/3

$$0.8 - \frac { 8 } { 15 } \div 2 \frac { 2 } { 3 }$$

Evaluate

$$0.6$$

Solution Steps

Divide \frac{8}{15} by \frac{2\times 3+2}{3} by multiplying \frac{8}{15} by the reciprocal of \frac{2\times 3+2}{3}.

$$0.8-\frac{8\times 3}{15\left(2\times 3+2\right)}$$

Cancel out 3 in both numerator and denominator.

$$0.8-\frac{8}{5\left(2+2\times 3\right)}$$

Multiply 2 and 3 to get 6.

$$0.8-\frac{8}{5\left(2+6\right)}$$

Add 2 and 6 to get 8.

$$0.8-\frac{8}{5\times 8}$$

Multiply 5 and 8 to get 40.

$$0.8-\frac{8}{40}$$

Reduce the fraction \frac{8}{40} to lowest terms by extracting and canceling out 8.

$$0.8-\frac{1}{5}$$

Convert decimal number 0.8 to fraction \frac{8}{10}. Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$\frac{4}{5}-\frac{1}{5}$$

Since \frac{4}{5} and \frac{1}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-1}{5}$$

Subtract 1 from 4 to get 3.

$$\frac{3}{5}$$

Factor

$$\frac{3}{5} = 0.6$$