Solve 21/2+3/4div1/18

$$2 \frac { 1 } { 2 } + \frac { 3 } { 4 } \div 1 / 18$$

Evaluate

$$16$$

Solution Steps

Multiply 2 and 2 to get 4.

$$\frac{4+1}{2}+\frac{\frac{3}{4}}{\frac{1}{18}}$$

Add 4 and 1 to get 5.

$$\frac{5}{2}+\frac{\frac{3}{4}}{\frac{1}{18}}$$

Divide \frac{3}{4} by \frac{1}{18} by multiplying \frac{3}{4} by the reciprocal of \frac{1}{18}.

$$\frac{5}{2}+\frac{3}{4}\times 18$$

Express \frac{3}{4}\times 18 as a single fraction.

$$\frac{5}{2}+\frac{3\times 18}{4}$$

Multiply 3 and 18 to get 54.

$$\frac{5}{2}+\frac{54}{4}$$

Reduce the fraction \frac{54}{4} to lowest terms by extracting and canceling out 2.

$$\frac{5}{2}+\frac{27}{2}$$

Since \frac{5}{2} and \frac{27}{2} have the same denominator, add them by adding their numerators.

$$\frac{5+27}{2}$$

Add 5 and 27 to get 32.

$$\frac{32}{2}$$

Divide 32 by 2 to get 16.

$$16$$

Factor

$$2^{4}$$