Solve 81/3-34/5

$$8 \frac { 1 } { 3 } - 3 \frac { 4 } { 5 }$$

Evaluate

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

Solution Steps

Multiply 8 and 3 to get 24.

$$\frac{24+1}{3}-\frac{3\times 5+4}{5}$$

Add 24 and 1 to get 25.

$$\frac{25}{3}-\frac{3\times 5+4}{5}$$

Multiply 3 and 5 to get 15.

$$\frac{25}{3}-\frac{15+4}{5}$$

Add 15 and 4 to get 19.

$$\frac{25}{3}-\frac{19}{5}$$

Least common multiple of 3 and 5 is 15. Convert \frac{25}{3} and \frac{19}{5} to fractions with denominator 15.

$$\frac{125}{15}-\frac{57}{15}$$

Since \frac{125}{15} and \frac{57}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{125-57}{15}$$

Subtract 57 from 125 to get 68.

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

Factor

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