Solve (1/16+1/18)*3

$$( \frac { 1 } { 16 } + \frac { 1 } { 18 } ) \times 3$$

Evaluate

$$\frac{17}{48}\approx 0.354166667$$

Solution Steps

Least common multiple of 16 and 18 is 144. Convert \frac{1}{16} and \frac{1}{18} to fractions with denominator 144.

$$\left(\frac{9}{144}+\frac{8}{144}\right)\times 3$$

Since \frac{9}{144} and \frac{8}{144} have the same denominator, add them by adding their numerators.

$$\frac{9+8}{144}\times 3$$

Add 9 and 8 to get 17.

$$\frac{17}{144}\times 3$$

Express \frac{17}{144}\times 3 as a single fraction.

$$\frac{17\times 3}{144}$$

Multiply 17 and 3 to get 51.

$$\frac{51}{144}$$

Reduce the fraction \frac{51}{144} to lowest terms by extracting and canceling out 3.

$$\frac{17}{48}$$

Factor

$$\frac{17}{2 ^ {4} \cdot 3} = 0.3541666666666667$$