Solve 1+1/2/frac{3{5}}

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

Evaluate

$$\frac{11}{6}\approx 1.833333333$$

Solution Steps

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

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

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

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

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

$$1+\frac{5}{6}$$

Convert 1 to fraction \frac{6}{6}.

$$\frac{6}{6}+\frac{5}{6}$$

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

$$\frac{6+5}{6}$$

Add 6 and 5 to get 11.

$$\frac{11}{6}$$

Factor

$$\frac{11}{2 \cdot 3} = 1\frac{5}{6} = 1.8333333333333333$$