Solve 78/63-12/21-5/9

$$\frac { 78 } { 63 } - \frac { 12 } { 21 } - \frac { 5 } { 9 }$$

Evaluate

$$\frac{1}{9}\approx 0.111111111$$

Solution Steps

Reduce the fraction \frac{78}{63} to lowest terms by extracting and canceling out 3.

$$\frac{26}{21}-\frac{12}{21}-\frac{5}{9}$$

Since \frac{26}{21} and \frac{12}{21} have the same denominator, subtract them by subtracting their numerators.

$$\frac{26-12}{21}-\frac{5}{9}$$

Subtract 12 from 26 to get 14.

$$\frac{14}{21}-\frac{5}{9}$$

Reduce the fraction \frac{14}{21} to lowest terms by extracting and canceling out 7.

$$\frac{2}{3}-\frac{5}{9}$$

Least common multiple of 3 and 9 is 9. Convert \frac{2}{3} and \frac{5}{9} to fractions with denominator 9.

$$\frac{6}{9}-\frac{5}{9}$$

Since \frac{6}{9} and \frac{5}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6-5}{9}$$

Subtract 5 from 6 to get 1.

$$\frac{1}{9}$$

Factor

$$\frac{1}{3 ^ {2}} = 0.1111111111111111$$