Solve {l}{5/7*193/8+5/7*753/8}{5}

$$\left. \begin{array} { l } { \frac { 5 } { 7 } \cdot 19 \frac { 3 } { 8 } + \frac { 5 } { 7 } \cdot 75 \frac { 3 } { 8 } } \\ { 5 } \end{array} \right.$$

Sort

$$5,\frac{1895}{28}$$

Solution Steps

Multiply 19 and 8 to get 152.

$$sort(\frac{5}{7}\times \frac{152+3}{8}+\frac{5}{7}\times \frac{75\times 8+3}{8},5)$$

Add 152 and 3 to get 155.

$$sort(\frac{5}{7}\times \frac{155}{8}+\frac{5}{7}\times \frac{75\times 8+3}{8},5)$$

Multiply \frac{5}{7} times \frac{155}{8} by multiplying numerator times numerator and denominator times denominator.

$$sort(\frac{5\times 155}{7\times 8}+\frac{5}{7}\times \frac{75\times 8+3}{8},5)$$

Do the multiplications in the fraction \frac{5\times 155}{7\times 8}.

$$sort(\frac{775}{56}+\frac{5}{7}\times \frac{75\times 8+3}{8},5)$$

Multiply 75 and 8 to get 600.

$$sort(\frac{775}{56}+\frac{5}{7}\times \frac{600+3}{8},5)$$

Add 600 and 3 to get 603.

$$sort(\frac{775}{56}+\frac{5}{7}\times \frac{603}{8},5)$$

Multiply \frac{5}{7} times \frac{603}{8} by multiplying numerator times numerator and denominator times denominator.

$$sort(\frac{775}{56}+\frac{5\times 603}{7\times 8},5)$$

Do the multiplications in the fraction \frac{5\times 603}{7\times 8}.

$$sort(\frac{775}{56}+\frac{3015}{56},5)$$

Since \frac{775}{56} and \frac{3015}{56} have the same denominator, add them by adding their numerators.

$$sort(\frac{775+3015}{56},5)$$

Add 775 and 3015 to get 3790.

$$sort(\frac{3790}{56},5)$$

Reduce the fraction \frac{3790}{56} to lowest terms by extracting and canceling out 2.

$$sort(\frac{1895}{28},5)$$

Convert decimal numbers in the list \frac{1895}{28},5 to fractions.

$$\frac{1895}{28},5$$

To sort the list, start from a single element \frac{1895}{28}.

$$\frac{1895}{28}$$

Insert 5 to the appropriate location in the new list.

$$5,\frac{1895}{28}$$

Evaluate

$$\frac{1895}{28},\ 5$$