Solve 22/5div8/15=

$$2 \frac { 2 } { 5 } \div \frac { 8 } { 15 } =$$

Evaluate

$$\frac{9}{2}=4.5$$

Solution Steps

Divide \frac{2\times 5+2}{5} by \frac{8}{15} by multiplying \frac{2\times 5+2}{5} by the reciprocal of \frac{8}{15}.

$$\frac{\left(2\times 5+2\right)\times 15}{5\times 8}$$

Cancel out 5 in both numerator and denominator.

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

Multiply 2 and 5 to get 10.

$$\frac{3\left(2+10\right)}{8}$$

Add 2 and 10 to get 12.

$$\frac{3\times 12}{8}$$

Multiply 3 and 12 to get 36.

$$\frac{36}{8}$$

Reduce the fraction \frac{36}{8} to lowest terms by extracting and canceling out 4.

$$\frac{9}{2}$$

Factor

$$\frac{3 ^ {2}}{2} = 4\frac{1}{2} = 4.5$$