Solve 31/3+11/5

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

Evaluate

$$\frac{68}{15}\approx 4.533333333$$

Solution Steps

Multiply 3 and 3 to get 9.

$$\frac{9+1}{3}+\frac{1\times 5+1}{5}$$

Add 9 and 1 to get 10.

$$\frac{10}{3}+\frac{1\times 5+1}{5}$$

Multiply 1 and 5 to get 5.

$$\frac{10}{3}+\frac{5+1}{5}$$

Add 5 and 1 to get 6.

$$\frac{10}{3}+\frac{6}{5}$$

Least common multiple of 3 and 5 is 15. Convert \frac{10}{3} and \frac{6}{5} to fractions with denominator 15.

$$\frac{50}{15}+\frac{18}{15}$$

Since \frac{50}{15} and \frac{18}{15} have the same denominator, add them by adding their numerators.

$$\frac{50+18}{15}$$

Add 50 and 18 to get 68.

$$\frac{68}{15}$$

Factor

$$\frac{2 ^ {2} \cdot 17}{3 \cdot 5} = 4\frac{8}{15} = 4.533333333333333$$