Solve 22/5:7/15

$$2 \frac { 2 } { 5 } : \frac { 7 } { 15 }$$

Evaluate

$$\frac{36}{7}\approx 5.142857143$$

Solution Steps

Divide \frac{2\times 5+2}{5} by \frac{7}{15} by multiplying \frac{2\times 5+2}{5} by the reciprocal of \frac{7}{15}.

$$\frac{\left(2\times 5+2\right)\times 15}{5\times 7}$$

Cancel out 5 in both numerator and denominator.

$$\frac{3\left(2+2\times 5\right)}{7}$$

Multiply 2 and 5 to get 10.

$$\frac{3\left(2+10\right)}{7}$$

Add 2 and 10 to get 12.

$$\frac{3\times 12}{7}$$

Multiply 3 and 12 to get 36.

$$\frac{36}{7}$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {2}}{7} = 5\frac{1}{7} = 5.142857142857143$$