Solve 12/3+13/4

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

Evaluate

$$\frac{41}{12}\approx 3.416666667$$

Solution Steps

Multiply 1 and 3 to get 3.

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

Add 3 and 2 to get 5.

$$\frac{5}{3}+\frac{1\times 4+3}{4}$$

Multiply 1 and 4 to get 4.

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

Add 4 and 3 to get 7.

$$\frac{5}{3}+\frac{7}{4}$$

Least common multiple of 3 and 4 is 12. Convert \frac{5}{3} and \frac{7}{4} to fractions with denominator 12.

$$\frac{20}{12}+\frac{21}{12}$$

Since \frac{20}{12} and \frac{21}{12} have the same denominator, add them by adding their numerators.

$$\frac{20+21}{12}$$

Add 20 and 21 to get 41.

$$\frac{41}{12}$$

Factor

$$\frac{41}{2 ^ {2} \cdot 3} = 3\frac{5}{12} = 3.4166666666666665$$