Solve 121/3+191/2

$$12 \frac { 1 } { 3 } + 19 \frac { 1 } { 2 }$$

Evaluate

$$\frac{191}{6}\approx 31.833333333$$

Solution Steps

Multiply 12 and 3 to get 36.

$$\frac{36+1}{3}+\frac{19\times 2+1}{2}$$

Add 36 and 1 to get 37.

$$\frac{37}{3}+\frac{19\times 2+1}{2}$$

Multiply 19 and 2 to get 38.

$$\frac{37}{3}+\frac{38+1}{2}$$

Add 38 and 1 to get 39.

$$\frac{37}{3}+\frac{39}{2}$$

Least common multiple of 3 and 2 is 6. Convert \frac{37}{3} and \frac{39}{2} to fractions with denominator 6.

$$\frac{74}{6}+\frac{117}{6}$$

Since \frac{74}{6} and \frac{117}{6} have the same denominator, add them by adding their numerators.

$$\frac{74+117}{6}$$

Add 74 and 117 to get 191.

$$\frac{191}{6}$$

Factor

$$\frac{191}{2 \cdot 3} = 31\frac{5}{6} = 31.833333333333332$$