Solve 8/15-(7/30+1/15)=

$$\frac { 8 } { 15 } - ( \frac { 7 } { 30 } + \frac { 1 } { 15 } ) =$$

Evaluate

$$\frac{7}{30}\approx 0.233333333$$

Solution Steps

Least common multiple of 30 and 15 is 30. Convert \frac{7}{30} and \frac{1}{15} to fractions with denominator 30.

$$\frac{8}{15}-\left(\frac{7}{30}+\frac{2}{30}\right)$$

Since \frac{7}{30} and \frac{2}{30} have the same denominator, add them by adding their numerators.

$$\frac{8}{15}-\frac{7+2}{30}$$

Add 7 and 2 to get 9.

$$\frac{8}{15}-\frac{9}{30}$$

Reduce the fraction \frac{9}{30} to lowest terms by extracting and canceling out 3.

$$\frac{8}{15}-\frac{3}{10}$$

Least common multiple of 15 and 10 is 30. Convert \frac{8}{15} and \frac{3}{10} to fractions with denominator 30.

$$\frac{16}{30}-\frac{9}{30}$$

Since \frac{16}{30} and \frac{9}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16-9}{30}$$

Subtract 9 from 16 to get 7.

$$\frac{7}{30}$$

Factor

$$\frac{7}{2 \cdot 3 \cdot 5} = 0.23333333333333334$$