Solve 81/3+27/5

$$8 \frac { 1 } { 3 } + 2 \frac { 7 } { 5 }$$

Evaluate

$$\frac{176}{15}\approx 11.733333333$$

Solution Steps

Multiply 8 and 3 to get 24.

$$\frac{24+1}{3}+\frac{2\times 5+7}{5}$$

Add 24 and 1 to get 25.

$$\frac{25}{3}+\frac{2\times 5+7}{5}$$

Multiply 2 and 5 to get 10.

$$\frac{25}{3}+\frac{10+7}{5}$$

Add 10 and 7 to get 17.

$$\frac{25}{3}+\frac{17}{5}$$

Least common multiple of 3 and 5 is 15. Convert \frac{25}{3} and \frac{17}{5} to fractions with denominator 15.

$$\frac{125}{15}+\frac{51}{15}$$

Since \frac{125}{15} and \frac{51}{15} have the same denominator, add them by adding their numerators.

$$\frac{125+51}{15}$$

Add 125 and 51 to get 176.

$$\frac{176}{15}$$

Factor

$$\frac{2 ^ {4} \cdot 11}{3 \cdot 5} = 11\frac{11}{15} = 11.733333333333333$$