Solve 30div(1+3/2)

$$30 \div ( 1 + \frac { 3 } { 2 } )$$

Evaluate

$$12$$

Solution Steps

Convert 1 to fraction \frac{2}{2}.

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

Since \frac{2}{2} and \frac{3}{2} have the same denominator, add them by adding their numerators.

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

Add 2 and 3 to get 5.

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

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

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

Express 30\times \frac{2}{5} as a single fraction.

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

Multiply 30 and 2 to get 60.

$$\frac{60}{5}$$

Divide 60 by 5 to get 12.

$$12$$

Factor

$$2^{2}\times 3$$