Solve {l}{6/7-1/2}{quad7/9}

$$\left. \begin{array} { l } { \frac { 6 } { 7 } - \frac { 1 } { 2 } } \\ { \quad \frac { 7 } { 9 } } \end{array} \right.$$

Sort

$$\frac{5}{14},\ \frac{7}{9}$$

Solution Steps

Least common multiple of 7 and 2 is 14. Convert \frac{6}{7} and \frac{1}{2} to fractions with denominator 14.

$$sort(\frac{12}{14}-\frac{7}{14},\frac{7}{9})$$

Since \frac{12}{14} and \frac{7}{14} have the same denominator, subtract them by subtracting their numerators.

$$sort(\frac{12-7}{14},\frac{7}{9})$$

Subtract 7 from 12 to get 5.

$$sort(\frac{5}{14},\frac{7}{9})$$

Least common denominator of the numbers in the list \frac{5}{14},\frac{7}{9} is 126. Convert numbers in the list to fractions with denominator 126.

$$\frac{45}{126},\frac{98}{126}$$

Evaluate

$$\frac{5}{14},\ \frac{7}{9}$$