Solve 5/6+7/19+12/19

$$\frac { 5 } { 6 } + \frac { 7 } { 19 } + \frac { 12 } { 19 }$$

Evaluate

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

Solution Steps

Least common multiple of 6 and 19 is 114. Convert \frac{5}{6} and \frac{7}{19} to fractions with denominator 114.

$$\frac{95}{114}+\frac{42}{114}+\frac{12}{19}$$

Since \frac{95}{114} and \frac{42}{114} have the same denominator, add them by adding their numerators.

$$\frac{95+42}{114}+\frac{12}{19}$$

Add 95 and 42 to get 137.

$$\frac{137}{114}+\frac{12}{19}$$

Least common multiple of 114 and 19 is 114. Convert \frac{137}{114} and \frac{12}{19} to fractions with denominator 114.

$$\frac{137}{114}+\frac{72}{114}$$

Since \frac{137}{114} and \frac{72}{114} have the same denominator, add them by adding their numerators.

$$\frac{137+72}{114}$$

Add 137 and 72 to get 209.

$$\frac{209}{114}$$

Reduce the fraction \frac{209}{114} to lowest terms by extracting and canceling out 19.

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

Factor

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