Solve 12/5+32/3

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

Evaluate

$$\frac{76}{15}\approx 5.066666667$$

Solution Steps

Multiply 1 and 5 to get 5.

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

Add 5 and 2 to get 7.

$$\frac{7}{5}+\frac{3\times 3+2}{3}$$

Multiply 3 and 3 to get 9.

$$\frac{7}{5}+\frac{9+2}{3}$$

Add 9 and 2 to get 11.

$$\frac{7}{5}+\frac{11}{3}$$

Least common multiple of 5 and 3 is 15. Convert \frac{7}{5} and \frac{11}{3} to fractions with denominator 15.

$$\frac{21}{15}+\frac{55}{15}$$

Since \frac{21}{15} and \frac{55}{15} have the same denominator, add them by adding their numerators.

$$\frac{21+55}{15}$$

Add 21 and 55 to get 76.

$$\frac{76}{15}$$

Factor

$$\frac{2 ^ {2} \cdot 19}{3 \cdot 5} = 5\frac{1}{15} = 5.066666666666666$$