Solve (8/15+2/5)*3/4

$$( \frac { 8 } { 15 } + \frac { 2 } { 5 } ) \times \frac { 3 } { 4 }$$

Evaluate

$$\frac{7}{10}=0.7$$

Solution Steps

Least common multiple of 15 and 5 is 15. Convert \frac{8}{15} and \frac{2}{5} to fractions with denominator 15.

$$\left(\frac{8}{15}+\frac{6}{15}\right)\times \frac{3}{4}$$

Since \frac{8}{15} and \frac{6}{15} have the same denominator, add them by adding their numerators.

$$\frac{8+6}{15}\times \frac{3}{4}$$

Add 8 and 6 to get 14.

$$\frac{14}{15}\times \frac{3}{4}$$

Multiply \frac{14}{15} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{14\times 3}{15\times 4}$$

Do the multiplications in the fraction \frac{14\times 3}{15\times 4}.

$$\frac{42}{60}$$

Reduce the fraction \frac{42}{60} to lowest terms by extracting and canceling out 6.

$$\frac{7}{10}$$

Factor

$$\frac{7}{2 \cdot 5} = 0.7$$