Solve {r}{147/8}{72/3}

$$\left. \begin{array} { r } { 14 \frac { 7 } { 8 } } \\ { 7 \frac { 2 } { 3 } } \end{array} \right.$$

Sort

$$\frac{23}{3},\frac{119}{8}$$

Solution Steps

Multiply 14 and 8 to get 112.

$$sort(\frac{112+7}{8},\frac{7\times 3+2}{3})$$

Add 112 and 7 to get 119.

$$sort(\frac{119}{8},\frac{7\times 3+2}{3})$$

Multiply 7 and 3 to get 21.

$$sort(\frac{119}{8},\frac{21+2}{3})$$

Add 21 and 2 to get 23.

$$sort(\frac{119}{8},\frac{23}{3})$$

Least common denominator of the numbers in the list \frac{119}{8},\frac{23}{3} is 24. Convert numbers in the list to fractions with denominator 24.

$$\frac{357}{24},\frac{184}{24}$$

To sort the list, start from a single element \frac{357}{24}.

$$\frac{357}{24}$$

Insert \frac{184}{24} to the appropriate location in the new list.

$$\frac{184}{24},\frac{357}{24}$$

Replace the obtained fractions with the initial values.

$$\frac{23}{3},\frac{119}{8}$$

Evaluate

$$\frac{119}{8},\ \frac{23}{3}$$