Solve 12/3+133/4

$$1 \frac { 2 } { 3 } + 13 \frac { 3 } { 4 }$$

Evaluate

$$\frac{185}{12}\approx 15.416666667$$

Solution Steps

Multiply 1 and 3 to get 3.

$$\frac{3+2}{3}+\frac{13\times 4+3}{4}$$

Add 3 and 2 to get 5.

$$\frac{5}{3}+\frac{13\times 4+3}{4}$$

Multiply 13 and 4 to get 52.

$$\frac{5}{3}+\frac{52+3}{4}$$

Add 52 and 3 to get 55.

$$\frac{5}{3}+\frac{55}{4}$$

Least common multiple of 3 and 4 is 12. Convert \frac{5}{3} and \frac{55}{4} to fractions with denominator 12.

$$\frac{20}{12}+\frac{165}{12}$$

Since \frac{20}{12} and \frac{165}{12} have the same denominator, add them by adding their numerators.

$$\frac{20+165}{12}$$

Add 20 and 165 to get 185.

$$\frac{185}{12}$$

Factor

$$\frac{5 \cdot 37}{2 ^ {2} \cdot 3} = 15\frac{5}{12} = 15.416666666666666$$