Solve {l}{149/11}{23/16}{65/7}

$$\left. \begin{array} { l } { 14 \frac { 9 } { 11 } } \\ { 2 \frac { 3 } { 16 } } \\ { 6 \frac { 5 } { 7 } } \end{array} \right.$$

Sort

$$\frac{35}{16},\frac{47}{7},\frac{163}{11}$$

Solution Steps

Multiply 14 and 11 to get 154.

$$sort(\frac{154+9}{11},\frac{2\times 16+3}{16},\frac{6\times 7+5}{7})$$

Add 154 and 9 to get 163.

$$sort(\frac{163}{11},\frac{2\times 16+3}{16},\frac{6\times 7+5}{7})$$

Multiply 2 and 16 to get 32.

$$sort(\frac{163}{11},\frac{32+3}{16},\frac{6\times 7+5}{7})$$

Add 32 and 3 to get 35.

$$sort(\frac{163}{11},\frac{35}{16},\frac{6\times 7+5}{7})$$

Multiply 6 and 7 to get 42.

$$sort(\frac{163}{11},\frac{35}{16},\frac{42+5}{7})$$

Add 42 and 5 to get 47.

$$sort(\frac{163}{11},\frac{35}{16},\frac{47}{7})$$

Least common denominator of the numbers in the list \frac{163}{11},\frac{35}{16},\frac{47}{7} is 1232. Convert numbers in the list to fractions with denominator 1232.

$$\frac{18256}{1232},\frac{2695}{1232},\frac{8272}{1232}$$

To sort the list, start from a single element \frac{18256}{1232}.

$$\frac{18256}{1232}$$

Insert \frac{2695}{1232} to the appropriate location in the new list.

$$\frac{2695}{1232},\frac{18256}{1232}$$

Insert \frac{8272}{1232} to the appropriate location in the new list.

$$\frac{2695}{1232},\frac{8272}{1232},\frac{18256}{1232}$$

Replace the obtained fractions with the initial values.

$$\frac{35}{16},\frac{47}{7},\frac{163}{11}$$

Evaluate

$$\frac{163}{11},\ \frac{35}{16},\ \frac{47}{7}$$