Solve 22/5div22/3

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

Evaluate

$$\frac{9}{10}=0.9$$

Solution Steps

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

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

Multiply 2 and 5 to get 10.

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

Add 10 and 2 to get 12.

$$\frac{12\times 3}{5\left(2\times 3+2\right)}$$

Multiply 12 and 3 to get 36.

$$\frac{36}{5\left(2\times 3+2\right)}$$

Multiply 2 and 3 to get 6.

$$\frac{36}{5\left(6+2\right)}$$

Add 6 and 2 to get 8.

$$\frac{36}{5\times 8}$$

Multiply 5 and 8 to get 40.

$$\frac{36}{40}$$

Reduce the fraction \frac{36}{40} to lowest terms by extracting and canceling out 4.

$$\frac{9}{10}$$

Factor

$$\frac{3 ^ {2}}{2 \cdot 5} = 0.9$$