Solve 51/3+81/12

$$5 \frac { 1 } { 3 } + 8 \frac { 1 } { 12 }$$

Evaluate

$$\frac{161}{12}\approx 13.416666667$$

Solution Steps

Multiply 5 and 3 to get 15.

$$\frac{15+1}{3}+\frac{8\times 12+1}{12}$$

Add 15 and 1 to get 16.

$$\frac{16}{3}+\frac{8\times 12+1}{12}$$

Multiply 8 and 12 to get 96.

$$\frac{16}{3}+\frac{96+1}{12}$$

Add 96 and 1 to get 97.

$$\frac{16}{3}+\frac{97}{12}$$

Least common multiple of 3 and 12 is 12. Convert \frac{16}{3} and \frac{97}{12} to fractions with denominator 12.

$$\frac{64}{12}+\frac{97}{12}$$

Since \frac{64}{12} and \frac{97}{12} have the same denominator, add them by adding their numerators.

$$\frac{64+97}{12}$$

Add 64 and 97 to get 161.

$$\frac{161}{12}$$

Factor

$$\frac{7 \cdot 23}{2 ^ {2} \cdot 3} = 13\frac{5}{12} = 13.416666666666666$$