Solve (3/10+2/5)*5/7

$$( \frac { 3 } { 10 } + \frac { 2 } { 5 } ) \cdot \frac { 5 } { 7 }$$

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

Least common multiple of 10 and 5 is 10. Convert \frac{3}{10} and \frac{2}{5} to fractions with denominator 10.

$$\left(\frac{3}{10}+\frac{4}{10}\right)\times \frac{5}{7}$$

Since \frac{3}{10} and \frac{4}{10} have the same denominator, add them by adding their numerators.

$$\frac{3+4}{10}\times \frac{5}{7}$$

Add 3 and 4 to get 7.

$$\frac{7}{10}\times \frac{5}{7}$$

Multiply \frac{7}{10} times \frac{5}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 5}{10\times 7}$$

Cancel out 7 in both numerator and denominator.

$$\frac{5}{10}$$

Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$