Solve {r}{6}{5div34/7}

$$\left. \begin{array} { r } { 6 } \\ { 5 \div 3 \frac { 4 } { 7 } } \end{array} \right.$$

Sort

$$\frac{7}{5},6$$

Solution Steps

Divide 5 by \frac{3\times 7+4}{7} by multiplying 5 by the reciprocal of \frac{3\times 7+4}{7}.

$$sort(6,\frac{5\times 7}{3\times 7+4})$$

Multiply 5 and 7 to get 35.

$$sort(6,\frac{35}{3\times 7+4})$$

Multiply 3 and 7 to get 21.

$$sort(6,\frac{35}{21+4})$$

Add 21 and 4 to get 25.

$$sort(6,\frac{35}{25})$$

Reduce the fraction \frac{35}{25} to lowest terms by extracting and canceling out 5.

$$sort(6,\frac{7}{5})$$

Convert decimal numbers in the list 6,\frac{7}{5} to fractions.

$$6,\frac{7}{5}$$

To sort the list, start from a single element 6.

$$6$$

Insert \frac{7}{5} to the appropriate location in the new list.

$$\frac{7}{5},6$$

Evaluate

$$6,\ \frac{7}{5}$$