Solve {l}{2/11-1/8}{03/19}

$$\left. \begin{array} { l } { \frac { 2 } { 11 } - \frac { 1 } { 8 } } \\ { 0 \frac { 3 } { 19 } } \end{array} \right.$$

Sort

$$\frac{5}{88},\ \frac{3}{19}$$

Solution Steps

Least common multiple of 11 and 8 is 88. Convert \frac{2}{11} and \frac{1}{8} to fractions with denominator 88.

$$sort(\frac{16}{88}-\frac{11}{88},\frac{0\times 19+3}{19})$$

Since \frac{16}{88} and \frac{11}{88} have the same denominator, subtract them by subtracting their numerators.

$$sort(\frac{16-11}{88},\frac{0\times 19+3}{19})$$

Subtract 11 from 16 to get 5.

$$sort(\frac{5}{88},\frac{0\times 19+3}{19})$$

Multiply 0 and 19 to get 0.

$$sort(\frac{5}{88},\frac{0+3}{19})$$

Add 0 and 3 to get 3.

$$sort(\frac{5}{88},\frac{3}{19})$$

Least common denominator of the numbers in the list \frac{5}{88},\frac{3}{19} is 1672. Convert numbers in the list to fractions with denominator 1672.

$$\frac{95}{1672},\frac{264}{1672}$$

Evaluate

$$\frac{5}{88},\ \frac{3}{19}$$