Solve 1/3+5/6:3/2

$$\frac { 1 } { 3 } + \frac { 5 } { 6 } : \frac { 3 } { 2 }$$

Evaluate

$$\frac{8}{9}\approx 0.888888889$$

Solution Steps

Divide \frac{5}{6} by \frac{3}{2} by multiplying \frac{5}{6} by the reciprocal of \frac{3}{2}.

$$\frac{1}{3}+\frac{5}{6}\times \frac{2}{3}$$

Multiply \frac{5}{6} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{3}+\frac{5\times 2}{6\times 3}$$

Do the multiplications in the fraction \frac{5\times 2}{6\times 3}.

$$\frac{1}{3}+\frac{10}{18}$$

Reduce the fraction \frac{10}{18} to lowest terms by extracting and canceling out 2.

$$\frac{1}{3}+\frac{5}{9}$$

Least common multiple of 3 and 9 is 9. Convert \frac{1}{3} and \frac{5}{9} to fractions with denominator 9.

$$\frac{3}{9}+\frac{5}{9}$$

Since \frac{3}{9} and \frac{5}{9} have the same denominator, add them by adding their numerators.

$$\frac{3+5}{9}$$

Add 3 and 5 to get 8.

$$\frac{8}{9}$$

Factor

$$\frac{2 ^ {3}}{3 ^ {2}} = 0.8888888888888888$$