Solve {l}{7/9*52/5}{13/4*41/6}

$$\left. \begin{array} { l } { \frac { 7 } { 9 } \times 5 \frac { 2 } { 5 } } \\ { 1 \frac { 3 } { 4 } \times 4 \frac { 1 } { 6 } } \end{array} \right.$$

Sort

$$\frac{21}{5},\ \frac{175}{24}$$

Solution Steps

Multiply 5 and 5 to get 25.

$$sort(\frac{7}{9}\times \frac{25+2}{5},\frac{1\times 4+3}{4}\times \frac{4\times 6+1}{6})$$

Add 25 and 2 to get 27.

$$sort(\frac{7}{9}\times \frac{27}{5},\frac{1\times 4+3}{4}\times \frac{4\times 6+1}{6})$$

Multiply \frac{7}{9} times \frac{27}{5} by multiplying numerator times numerator and denominator times denominator.

$$sort(\frac{7\times 27}{9\times 5},\frac{1\times 4+3}{4}\times \frac{4\times 6+1}{6})$$

Do the multiplications in the fraction \frac{7\times 27}{9\times 5}.

$$sort(\frac{189}{45},\frac{1\times 4+3}{4}\times \frac{4\times 6+1}{6})$$

Reduce the fraction \frac{189}{45} to lowest terms by extracting and canceling out 9.

$$sort(\frac{21}{5},\frac{1\times 4+3}{4}\times \frac{4\times 6+1}{6})$$

Multiply 1 and 4 to get 4.

$$sort(\frac{21}{5},\frac{4+3}{4}\times \frac{4\times 6+1}{6})$$

Add 4 and 3 to get 7.

$$sort(\frac{21}{5},\frac{7}{4}\times \frac{4\times 6+1}{6})$$

Multiply 4 and 6 to get 24.

$$sort(\frac{21}{5},\frac{7}{4}\times \frac{24+1}{6})$$

Add 24 and 1 to get 25.

$$sort(\frac{21}{5},\frac{7}{4}\times \frac{25}{6})$$

Multiply \frac{7}{4} times \frac{25}{6} by multiplying numerator times numerator and denominator times denominator.

$$sort(\frac{21}{5},\frac{7\times 25}{4\times 6})$$

Do the multiplications in the fraction \frac{7\times 25}{4\times 6}.

$$sort(\frac{21}{5},\frac{175}{24})$$

Least common denominator of the numbers in the list \frac{21}{5},\frac{175}{24} is 120. Convert numbers in the list to fractions with denominator 120.

$$\frac{504}{120},\frac{875}{120}$$

Evaluate

$$\frac{21}{5},\ \frac{175}{24}$$