Solve (7/15-1/5)*3/4+2/3

$$( \frac { 7 } { 15 } - \frac { 1 } { 5 } ) \times \frac { 3 } { 4 } + \frac { 2 } { 3 }$$

Evaluate

$$\frac{13}{15}\approx 0.866666667$$

Solution Steps

Least common multiple of 15 and 5 is 15. Convert \frac{7}{15} and \frac{1}{5} to fractions with denominator 15.

$$\left(\frac{7}{15}-\frac{3}{15}\right)\times \frac{3}{4}+\frac{2}{3}$$

Since \frac{7}{15} and \frac{3}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-3}{15}\times \frac{3}{4}+\frac{2}{3}$$

Subtract 3 from 7 to get 4.

$$\frac{4}{15}\times \frac{3}{4}+\frac{2}{3}$$

Multiply \frac{4}{15} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 3}{15\times 4}+\frac{2}{3}$$

Cancel out 4 in both numerator and denominator.

$$\frac{3}{15}+\frac{2}{3}$$

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

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

Least common multiple of 5 and 3 is 15. Convert \frac{1}{5} and \frac{2}{3} to fractions with denominator 15.

$$\frac{3}{15}+\frac{10}{15}$$

Since \frac{3}{15} and \frac{10}{15} have the same denominator, add them by adding their numerators.

$$\frac{3+10}{15}$$

Add 3 and 10 to get 13.

$$\frac{13}{15}$$

Factor

$$\frac{13}{3 \cdot 5} = 0.8666666666666667$$