Solve 1/2+1/3+5/6=10/6

$$\frac { 1 } { 2 } + \frac { 1 } { 3 } + \frac { 5 } { 6 } = 10 / 6$$

Verify

Solution Steps

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

$$\frac{3}{6}+\frac{2}{6}+\frac{5}{6}=\frac{10}{6}$$

Since \frac{3}{6} and \frac{2}{6} have the same denominator, add them by adding their numerators.

$$\frac{3+2}{6}+\frac{5}{6}=\frac{10}{6}$$

Add 3 and 2 to get 5.

$$\frac{5}{6}+\frac{5}{6}=\frac{10}{6}$$

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

$$\frac{5+5}{6}=\frac{10}{6}$$

Add 5 and 5 to get 10.

$$\frac{10}{6}=\frac{10}{6}$$

Reduce the fraction \frac{10}{6} to lowest terms by extracting and canceling out 2.

$$\frac{5}{3}=\frac{10}{6}$$

Reduce the fraction \frac{10}{6} to lowest terms by extracting and canceling out 2.

$$\frac{5}{3}=\frac{5}{3}$$

Compare \frac{5}{3} and \frac{5}{3}.

$$\text{true}$$