Solve 12/5+11/3

$$1 \frac { 2 } { 5 } + 1 \frac { 1 } { 3 }$$

Evaluate

$$\frac{41}{15}\approx 2.733333333$$

Solution Steps

Multiply 1 and 5 to get 5.

$$\frac{5+2}{5}+\frac{1\times 3+1}{3}$$

Add 5 and 2 to get 7.

$$\frac{7}{5}+\frac{1\times 3+1}{3}$$

Multiply 1 and 3 to get 3.

$$\frac{7}{5}+\frac{3+1}{3}$$

Add 3 and 1 to get 4.

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

Least common multiple of 5 and 3 is 15. Convert \frac{7}{5} and \frac{4}{3} to fractions with denominator 15.

$$\frac{21}{15}+\frac{20}{15}$$

Since \frac{21}{15} and \frac{20}{15} have the same denominator, add them by adding their numerators.

$$\frac{21+20}{15}$$

Add 21 and 20 to get 41.

$$\frac{41}{15}$$

Factor

$$\frac{41}{3 \cdot 5} = 2\frac{11}{15} = 2.7333333333333334$$