Solve 83/9-64/5

$$8 \frac { 3 } { 9 } - 6 \frac { 4 } { 5 }$$

Evaluate

$$\frac{23}{15}\approx 1.533333333$$

Solution Steps

Multiply 8 and 9 to get 72.

$$\frac{72+3}{9}-\frac{6\times 5+4}{5}$$

Add 72 and 3 to get 75.

$$\frac{75}{9}-\frac{6\times 5+4}{5}$$

Reduce the fraction \frac{75}{9} to lowest terms by extracting and canceling out 3.

$$\frac{25}{3}-\frac{6\times 5+4}{5}$$

Multiply 6 and 5 to get 30.

$$\frac{25}{3}-\frac{30+4}{5}$$

Add 30 and 4 to get 34.

$$\frac{25}{3}-\frac{34}{5}$$

Least common multiple of 3 and 5 is 15. Convert \frac{25}{3} and \frac{34}{5} to fractions with denominator 15.

$$\frac{125}{15}-\frac{102}{15}$$

Since \frac{125}{15} and \frac{102}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{125-102}{15}$$

Subtract 102 from 125 to get 23.

$$\frac{23}{15}$$

Factor

$$\frac{23}{3 \cdot 5} = 1\frac{8}{15} = 1.5333333333333334$$