Solve 610/12-612/9=

$$6 \frac{ 10 }{ 12 } -6 \frac{ 12 }{ 9 } =$$

Evaluate

$$-\frac{1}{2}=-0.5$$

Solution Steps

Multiply 6 and 12 to get 72.

$$\frac{72+10}{12}-\frac{6\times 9+12}{9}$$

Add 72 and 10 to get 82.

$$\frac{82}{12}-\frac{6\times 9+12}{9}$$

Reduce the fraction \frac{82}{12} to lowest terms by extracting and canceling out 2.

$$\frac{41}{6}-\frac{6\times 9+12}{9}$$

Multiply 6 and 9 to get 54.

$$\frac{41}{6}-\frac{54+12}{9}$$

Add 54 and 12 to get 66.

$$\frac{41}{6}-\frac{66}{9}$$

Reduce the fraction \frac{66}{9} to lowest terms by extracting and canceling out 3.

$$\frac{41}{6}-\frac{22}{3}$$

Least common multiple of 6 and 3 is 6. Convert \frac{41}{6} and \frac{22}{3} to fractions with denominator 6.

$$\frac{41}{6}-\frac{44}{6}$$

Since \frac{41}{6} and \frac{44}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{41-44}{6}$$

Subtract 44 from 41 to get -3.

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

Reduce the fraction \frac{-3}{6} to lowest terms by extracting and canceling out 3.

$$-\frac{1}{2}$$

Factor

$$-\frac{1}{2} = -0.5$$