Solve 22/5div3/10

$$2 \frac{ 2 }{ 5 } \div \frac{ 3 }{ 10 }$$

Evaluate

$$8$$

Solution Steps

Divide \frac{2\times 5+2}{5} by \frac{3}{10} by multiplying \frac{2\times 5+2}{5} by the reciprocal of \frac{3}{10}.

$$\frac{\left(2\times 5+2\right)\times 10}{5\times 3}$$

Cancel out 5 in both numerator and denominator.

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

Multiply 2 and 5 to get 10.

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

Add 2 and 10 to get 12.

$$\frac{2\times 12}{3}$$

Multiply 2 and 12 to get 24.

$$\frac{24}{3}$$

Divide 24 by 3 to get 8.

$$8$$

Factor

$$2^{3}$$