Solve 303/5div32/5

$$30 \frac { 3 } { 5 } \div 3 \frac { 2 } { 5 }$$

Evaluate

$$9$$

Solution Steps

Divide \frac{30\times 5+3}{5} by \frac{3\times 5+2}{5} by multiplying \frac{30\times 5+3}{5} by the reciprocal of \frac{3\times 5+2}{5}.

$$\frac{\left(30\times 5+3\right)\times 5}{5\left(3\times 5+2\right)}$$

Cancel out 5 in both numerator and denominator.

$$\frac{3+5\times 30}{2+3\times 5}$$

Multiply 5 and 30 to get 150.

$$\frac{3+150}{2+3\times 5}$$

Add 3 and 150 to get 153.

$$\frac{153}{2+3\times 5}$$

Multiply 3 and 5 to get 15.

$$\frac{153}{2+15}$$

Add 2 and 15 to get 17.

$$\frac{153}{17}$$

Divide 153 by 17 to get 9.

$$9$$

Factor

$$3^{2}$$