Solve 121/2+101/3

$$12 \frac { 1 } { 2 } + 10 \frac { 1 } { 3 }$$

Evaluate

$$\frac{137}{6}\approx 22.833333333$$

Solution Steps

Multiply 12 and 2 to get 24.

$$\frac{24+1}{2}+\frac{10\times 3+1}{3}$$

Add 24 and 1 to get 25.

$$\frac{25}{2}+\frac{10\times 3+1}{3}$$

Multiply 10 and 3 to get 30.

$$\frac{25}{2}+\frac{30+1}{3}$$

Add 30 and 1 to get 31.

$$\frac{25}{2}+\frac{31}{3}$$

Least common multiple of 2 and 3 is 6. Convert \frac{25}{2} and \frac{31}{3} to fractions with denominator 6.

$$\frac{75}{6}+\frac{62}{6}$$

Since \frac{75}{6} and \frac{62}{6} have the same denominator, add them by adding their numerators.

$$\frac{75+62}{6}$$

Add 75 and 62 to get 137.

$$\frac{137}{6}$$

Factor

$$\frac{137}{2 \cdot 3} = 22\frac{5}{6} = 22.833333333333332$$