Solve 3/5+1/3div5/2

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

Evaluate

$$\frac{11}{15}\approx 0.733333333$$

Solution Steps

Divide \frac{1}{3} by \frac{5}{2} by multiplying \frac{1}{3} by the reciprocal of \frac{5}{2}.

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

Multiply \frac{1}{3} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{1\times 2}{3\times 5}.

$$\frac{3}{5}+\frac{2}{15}$$

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

$$\frac{9}{15}+\frac{2}{15}$$

Since \frac{9}{15} and \frac{2}{15} have the same denominator, add them by adding their numerators.

$$\frac{9+2}{15}$$

Add 9 and 2 to get 11.

$$\frac{11}{15}$$

Factor

$$\frac{11}{3 \cdot 5} = 0.7333333333333333$$