Solve 3/4-(7/12-2/9)=

$$\frac { 3 } { 4 } - ( \frac { 7 } { 12 } - \frac { 2 } { 9 } ) =$$

Evaluate

$$\frac{7}{18}\approx 0.388888889$$

Solution Steps

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

$$\frac{3}{4}-\left(\frac{21}{36}-\frac{8}{36}\right)$$

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

$$\frac{3}{4}-\frac{21-8}{36}$$

Subtract 8 from 21 to get 13.

$$\frac{3}{4}-\frac{13}{36}$$

Least common multiple of 4 and 36 is 36. Convert \frac{3}{4} and \frac{13}{36} to fractions with denominator 36.

$$\frac{27}{36}-\frac{13}{36}$$

Since \frac{27}{36} and \frac{13}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{27-13}{36}$$

Subtract 13 from 27 to get 14.

$$\frac{14}{36}$$

Reduce the fraction \frac{14}{36} to lowest terms by extracting and canceling out 2.

$$\frac{7}{18}$$

Factor

$$\frac{7}{2 \cdot 3 ^ {2}} = 0.3888888888888889$$