Solve {l}{247/38-171/38}{157/10-24/10+6frac{1}{10}}

$$\left. \begin{array} { l } { 24 \frac { 7 } { 38 } - 17 \frac { 1 } { 38 } } \\ { 15 \frac { 7 } { 10 } - 2 \frac { 4 } { 10 } + 6 \frac { 1 } { 10 } } \end{array} \right.$$

Sort

$$\frac{136}{19},\ \frac{97}{5}$$

Solution Steps

Multiply 24 and 38 to get 912.

$$sort(\frac{912+7}{38}-\frac{17\times 38+1}{38},\frac{15\times 10+7}{10}-\frac{2\times 10+4}{10}+\frac{6\times 10+1}{10})$$

Add 912 and 7 to get 919.

$$sort(\frac{919}{38}-\frac{17\times 38+1}{38},\frac{15\times 10+7}{10}-\frac{2\times 10+4}{10}+\frac{6\times 10+1}{10})$$

Multiply 17 and 38 to get 646.

$$sort(\frac{919}{38}-\frac{646+1}{38},\frac{15\times 10+7}{10}-\frac{2\times 10+4}{10}+\frac{6\times 10+1}{10})$$

Add 646 and 1 to get 647.

$$sort(\frac{919}{38}-\frac{647}{38},\frac{15\times 10+7}{10}-\frac{2\times 10+4}{10}+\frac{6\times 10+1}{10})$$

Since \frac{919}{38} and \frac{647}{38} have the same denominator, subtract them by subtracting their numerators.

$$sort(\frac{919-647}{38},\frac{15\times 10+7}{10}-\frac{2\times 10+4}{10}+\frac{6\times 10+1}{10})$$

Subtract 647 from 919 to get 272.

$$sort(\frac{272}{38},\frac{15\times 10+7}{10}-\frac{2\times 10+4}{10}+\frac{6\times 10+1}{10})$$

Reduce the fraction \frac{272}{38} to lowest terms by extracting and canceling out 2.

$$sort(\frac{136}{19},\frac{15\times 10+7}{10}-\frac{2\times 10+4}{10}+\frac{6\times 10+1}{10})$$

Multiply 15 and 10 to get 150.

$$sort(\frac{136}{19},\frac{150+7}{10}-\frac{2\times 10+4}{10}+\frac{6\times 10+1}{10})$$

Add 150 and 7 to get 157.

$$sort(\frac{136}{19},\frac{157}{10}-\frac{2\times 10+4}{10}+\frac{6\times 10+1}{10})$$

Multiply 2 and 10 to get 20.

$$sort(\frac{136}{19},\frac{157}{10}-\frac{20+4}{10}+\frac{6\times 10+1}{10})$$

Add 20 and 4 to get 24.

$$sort(\frac{136}{19},\frac{157}{10}-\frac{24}{10}+\frac{6\times 10+1}{10})$$

Since \frac{157}{10} and \frac{24}{10} have the same denominator, subtract them by subtracting their numerators.

$$sort(\frac{136}{19},\frac{157-24}{10}+\frac{6\times 10+1}{10})$$

Subtract 24 from 157 to get 133.

$$sort(\frac{136}{19},\frac{133}{10}+\frac{6\times 10+1}{10})$$

Multiply 6 and 10 to get 60.

$$sort(\frac{136}{19},\frac{133}{10}+\frac{60+1}{10})$$

Add 60 and 1 to get 61.

$$sort(\frac{136}{19},\frac{133}{10}+\frac{61}{10})$$

Since \frac{133}{10} and \frac{61}{10} have the same denominator, add them by adding their numerators.

$$sort(\frac{136}{19},\frac{133+61}{10})$$

Add 133 and 61 to get 194.

$$sort(\frac{136}{19},\frac{194}{10})$$

Reduce the fraction \frac{194}{10} to lowest terms by extracting and canceling out 2.

$$sort(\frac{136}{19},\frac{97}{5})$$

Least common denominator of the numbers in the list \frac{136}{19},\frac{97}{5} is 95. Convert numbers in the list to fractions with denominator 95.

$$\frac{680}{95},\frac{1843}{95}$$

Evaluate

$$\frac{136}{19},\ \frac{97}{5}$$