Solve 81/3-11/5

$$8 \frac { 1 } { 3 } - 1 \frac { 1 } { 5 }$$

Evaluate

$$\frac{107}{15}\approx 7.133333333$$

Solution Steps

Multiply 8 and 3 to get 24.

$$\frac{24+1}{3}-\frac{1\times 5+1}{5}$$

Add 24 and 1 to get 25.

$$\frac{25}{3}-\frac{1\times 5+1}{5}$$

Multiply 1 and 5 to get 5.

$$\frac{25}{3}-\frac{5+1}{5}$$

Add 5 and 1 to get 6.

$$\frac{25}{3}-\frac{6}{5}$$

Least common multiple of 3 and 5 is 15. Convert \frac{25}{3} and \frac{6}{5} to fractions with denominator 15.

$$\frac{125}{15}-\frac{18}{15}$$

Since \frac{125}{15} and \frac{18}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{125-18}{15}$$

Subtract 18 from 125 to get 107.

$$\frac{107}{15}$$

Factor

$$\frac{107}{3 \cdot 5} = 7\frac{2}{15} = 7.133333333333334$$