Solve {l}{79/5div42/5}{44/5div22/5}

$$\left. \begin{array} { l } { 7 \frac { 9 } { 5 } \div 4 \frac { 2 } { 5 } } \\ { \frac { 44 } { 5 } \div \frac { 22 } { 5 } } \end{array} \right.$$

Sort

$$2,\ 2$$

Solution Steps

Divide \frac{7\times 5+9}{5} by \frac{4\times 5+2}{5} by multiplying \frac{7\times 5+9}{5} by the reciprocal of \frac{4\times 5+2}{5}.

$$sort(\frac{\left(7\times 5+9\right)\times 5}{5\left(4\times 5+2\right)},\frac{\frac{44}{5}}{\frac{22}{5}})$$

Cancel out 5 in both numerator and denominator.

$$sort(\frac{9+5\times 7}{2+4\times 5},\frac{\frac{44}{5}}{\frac{22}{5}})$$

Multiply 5 and 7 to get 35.

$$sort(\frac{9+35}{2+4\times 5},\frac{\frac{44}{5}}{\frac{22}{5}})$$

Add 9 and 35 to get 44.

$$sort(\frac{44}{2+4\times 5},\frac{\frac{44}{5}}{\frac{22}{5}})$$

Multiply 4 and 5 to get 20.

$$sort(\frac{44}{2+20},\frac{\frac{44}{5}}{\frac{22}{5}})$$

Add 2 and 20 to get 22.

$$sort(\frac{44}{22},\frac{\frac{44}{5}}{\frac{22}{5}})$$

Divide 44 by 22 to get 2.

$$sort(2,\frac{\frac{44}{5}}{\frac{22}{5}})$$

Divide \frac{44}{5} by \frac{22}{5} by multiplying \frac{44}{5} by the reciprocal of \frac{22}{5}.

$$sort(2,\frac{44}{5}\times \frac{5}{22})$$

Multiply \frac{44}{5} times \frac{5}{22} by multiplying numerator times numerator and denominator times denominator.

$$sort(2,\frac{44\times 5}{5\times 22})$$

Cancel out 5 in both numerator and denominator.

$$sort(2,\frac{44}{22})$$

Divide 44 by 22 to get 2.

$$sort(2,2)$$

The list values are already in order.

$$2,2$$

Evaluate

$$2,\ 2$$