Solve 81/6-62/5=

$$8 \frac { 1 } { 6 } - 6 \frac { 2 } { 5 } =$$

Evaluate

$$\frac{53}{30}\approx 1.766666667$$

Solution Steps

Multiply 8 and 6 to get 48.

$$\frac{48+1}{6}-\frac{6\times 5+2}{5}$$

Add 48 and 1 to get 49.

$$\frac{49}{6}-\frac{6\times 5+2}{5}$$

Multiply 6 and 5 to get 30.

$$\frac{49}{6}-\frac{30+2}{5}$$

Add 30 and 2 to get 32.

$$\frac{49}{6}-\frac{32}{5}$$

Least common multiple of 6 and 5 is 30. Convert \frac{49}{6} and \frac{32}{5} to fractions with denominator 30.

$$\frac{245}{30}-\frac{192}{30}$$

Since \frac{245}{30} and \frac{192}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{245-192}{30}$$

Subtract 192 from 245 to get 53.

$$\frac{53}{30}$$

Factor

$$\frac{53}{2 \cdot 3 \cdot 5} = 1\frac{23}{30} = 1.7666666666666666$$