Solve quad1/2+1/frac{3{5}}

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

Evaluate

$$\frac{13}{6}\approx 2.166666667$$

Solution Steps

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

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

Multiply 1 and \frac{5}{3} to get \frac{5}{3}.

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

Least common multiple of 2 and 3 is 6. Convert \frac{1}{2} and \frac{5}{3} to fractions with denominator 6.

$$\frac{3}{6}+\frac{10}{6}$$

Since \frac{3}{6} and \frac{10}{6} have the same denominator, add them by adding their numerators.

$$\frac{3+10}{6}$$

Add 3 and 10 to get 13.

$$\frac{13}{6}$$

Factor

$$\frac{13}{2 \cdot 3} = 2\frac{1}{6} = 2.1666666666666665$$