Solve 29/12-2/9

$$2 \frac { 9 } { 12 } - \frac { 2 } { 9 }$$

Evaluate

$$\frac{91}{36}\approx 2.527777778$$

Solution Steps

Multiply 2 and 12 to get 24.

$$\frac{24+9}{12}-\frac{2}{9}$$

Add 24 and 9 to get 33.

$$\frac{33}{12}-\frac{2}{9}$$

Reduce the fraction \frac{33}{12} to lowest terms by extracting and canceling out 3.

$$\frac{11}{4}-\frac{2}{9}$$

Least common multiple of 4 and 9 is 36. Convert \frac{11}{4} and \frac{2}{9} to fractions with denominator 36.

$$\frac{99}{36}-\frac{8}{36}$$

Since \frac{99}{36} and \frac{8}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{99-8}{36}$$

Subtract 8 from 99 to get 91.

$$\frac{91}{36}$$

Factor

$$\frac{7 \cdot 13}{2 ^ {2} \cdot 3 ^ {2}} = 2\frac{19}{36} = 2.5277777777777777$$