Solve 7/12-2/9

$$\frac { 7 } { 12 } - \frac { 2 } { 9 }$$

Evaluate

$$\frac{13}{36}\approx 0.361111111$$

Solution Steps

Least common multiple of 12 and 9 is 36. Convert \frac{7}{12} and \frac{2}{9} to fractions with denominator 36.

$$\frac{21}{36}-\frac{8}{36}$$

Since \frac{21}{36} and \frac{8}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{21-8}{36}$$

Subtract 8 from 21 to get 13.

$$\frac{13}{36}$$

Factor

$$\frac{13}{2 ^ {2} \cdot 3 ^ {2}} = 0.3611111111111111$$