Solve 9/20+(11/20+5/6)=

$$\frac { 9 } { 20 } + ( \frac { 11 } { 20 } + \frac { 5 } { 6 } ) =$$

Evaluate

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

Solution Steps

Since \frac{9}{20} and \frac{11}{20} have the same denominator, add them by adding their numerators.

$$\frac{9+11}{20}+\frac{5}{6}$$

Add 9 and 11 to get 20.

$$\frac{20}{20}+\frac{5}{6}$$

Divide 20 by 20 to get 1.

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

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

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