Solve 33/5:9/10

$$3 \frac { 3 } { 5 } : \frac { 9 } { 10 }$$

Evaluate

$$4$$

Solution Steps

Divide \frac{3\times 5+3}{5} by \frac{9}{10} by multiplying \frac{3\times 5+3}{5} by the reciprocal of \frac{9}{10}.

$$\frac{\left(3\times 5+3\right)\times 10}{5\times 9}$$

Cancel out 5 in both numerator and denominator.

$$\frac{2\left(3+3\times 5\right)}{9}$$

Multiply 3 and 5 to get 15.

$$\frac{2\left(3+15\right)}{9}$$

Add 3 and 15 to get 18.

$$\frac{2\times 18}{9}$$

Multiply 2 and 18 to get 36.

$$\frac{36}{9}$$

Divide 36 by 9 to get 4.

$$4$$

Factor

$$2^{2}$$