Solve 12/9-23/6

$$1 \frac { 2 } { 9 } - 2 \frac { 3 } { 6 }$$

Evaluate

$$-\frac{23}{18}\approx -1.277777778$$

Solution Steps

Multiply 1 and 9 to get 9.

$$\frac{9+2}{9}-\frac{2\times 6+3}{6}$$

Add 9 and 2 to get 11.

$$\frac{11}{9}-\frac{2\times 6+3}{6}$$

Multiply 2 and 6 to get 12.

$$\frac{11}{9}-\frac{12+3}{6}$$

Add 12 and 3 to get 15.

$$\frac{11}{9}-\frac{15}{6}$$

Reduce the fraction \frac{15}{6} to lowest terms by extracting and canceling out 3.

$$\frac{11}{9}-\frac{5}{2}$$

Least common multiple of 9 and 2 is 18. Convert \frac{11}{9} and \frac{5}{2} to fractions with denominator 18.

$$\frac{22}{18}-\frac{45}{18}$$

Since \frac{22}{18} and \frac{45}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{22-45}{18}$$

Subtract 45 from 22 to get -23.

$$-\frac{23}{18}$$

Factor

$$-\frac{23}{18} = -1\frac{5}{18} = -1.2777777777777777$$