Solve (3/5+1/2)*8/13

$$( \frac { 3 } { 5 } + \frac { 1 } { 2 } ) \cdot \frac { 8 } { 13 }$$

Evaluate

$$\frac{44}{65}\approx 0.676923077$$

Solution Steps

Least common multiple of 5 and 2 is 10. Convert \frac{3}{5} and \frac{1}{2} to fractions with denominator 10.

$$\left(\frac{6}{10}+\frac{5}{10}\right)\times \frac{8}{13}$$

Since \frac{6}{10} and \frac{5}{10} have the same denominator, add them by adding their numerators.

$$\frac{6+5}{10}\times \frac{8}{13}$$

Add 6 and 5 to get 11.

$$\frac{11}{10}\times \frac{8}{13}$$

Multiply \frac{11}{10} times \frac{8}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 8}{10\times 13}$$

Do the multiplications in the fraction \frac{11\times 8}{10\times 13}.

$$\frac{88}{130}$$

Reduce the fraction \frac{88}{130} to lowest terms by extracting and canceling out 2.

$$\frac{44}{65}$$

Factor

$$\frac{2 ^ {2} \cdot 11}{5 \cdot 13} = 0.676923076923077$$