Solve {l}{103/7}{4/8}

$$\left. \begin{array} { l } { 10 \frac { 3 } { 7 } } \\ { 4 / 8 } \end{array} \right.$$

Sort

$$\frac{1}{2},\frac{73}{7}$$

Solution Steps

Multiply 10 and 7 to get 70.

$$sort(\frac{70+3}{7},\frac{4}{8})$$

Add 70 and 3 to get 73.

$$sort(\frac{73}{7},\frac{4}{8})$$

Reduce the fraction \frac{4}{8} to lowest terms by extracting and canceling out 4.

$$sort(\frac{73}{7},\frac{1}{2})$$

Least common denominator of the numbers in the list \frac{73}{7},\frac{1}{2} is 14. Convert numbers in the list to fractions with denominator 14.

$$\frac{146}{14},\frac{7}{14}$$

To sort the list, start from a single element \frac{146}{14}.

$$\frac{146}{14}$$

Insert \frac{7}{14} to the appropriate location in the new list.

$$\frac{7}{14},\frac{146}{14}$$

Replace the obtained fractions with the initial values.

$$\frac{1}{2},\frac{73}{7}$$

Evaluate

$$\frac{73}{7},\ \frac{1}{2}$$