Solve 64/15div22/3

$$\frac{ 64 }{ 15 } \div 2 \frac{ 2 }{ 3 }$$

Evaluate

$$\frac{8}{5}=1.6$$

Solution Steps

Divide \frac{64}{15} by \frac{2\times 3+2}{3} by multiplying \frac{64}{15} by the reciprocal of \frac{2\times 3+2}{3}.

$$\frac{64\times 3}{15\left(2\times 3+2\right)}$$

Cancel out 3 in both numerator and denominator.

$$\frac{64}{5\left(2+2\times 3\right)}$$

Multiply 2 and 3 to get 6.

$$\frac{64}{5\left(2+6\right)}$$

Add 2 and 6 to get 8.

$$\frac{64}{5\times 8}$$

Multiply 5 and 8 to get 40.

$$\frac{64}{40}$$

Reduce the fraction \frac{64}{40} to lowest terms by extracting and canceling out 8.

$$\frac{8}{5}$$

Factor

$$\frac{2 ^ {3}}{5} = 1\frac{3}{5} = 1.6$$