Solve [27+2/15-1/3]

$$[ 27 + \frac { 2 } { 15 } - \frac { 1 } { 3 } ]$$

Evaluate

$$\frac{134}{5}=26.8$$

Solution Steps

Convert 27 to fraction \frac{405}{15}.

$$\frac{405}{15}+\frac{2}{15}-\frac{1}{3}$$

Since \frac{405}{15} and \frac{2}{15} have the same denominator, add them by adding their numerators.

$$\frac{405+2}{15}-\frac{1}{3}$$

Add 405 and 2 to get 407.

$$\frac{407}{15}-\frac{1}{3}$$

Least common multiple of 15 and 3 is 15. Convert \frac{407}{15} and \frac{1}{3} to fractions with denominator 15.

$$\frac{407}{15}-\frac{5}{15}$$

Since \frac{407}{15} and \frac{5}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{407-5}{15}$$

Subtract 5 from 407 to get 402.

$$\frac{402}{15}$$

Reduce the fraction \frac{402}{15} to lowest terms by extracting and canceling out 3.

$$\frac{134}{5}$$

Factor

$$\frac{2 \cdot 67}{5} = 26\frac{4}{5} = 26.8$$