Solve {l}{3/4*0/5*4/9}{(3x/25)(frac{25}{9x})}

$$\left. \begin{array} { l } { \frac { 3 } { 4 } \cdot \frac { 0 } { 5 } \cdot \frac { 4 } { 9 } } \\ { ( \frac { 3 x } { 25 } ) ( \frac { 25 } { 9 x } ) } \end{array} \right.$$

Sort

$$0,\ \frac{1}{3}$$

Solution Steps

Zero divided by any non-zero number gives zero.

$$sort(\frac{3}{4}\times 0\times \frac{4}{9},\frac{3x}{25}\times \frac{25}{9x})$$

Multiply \frac{3}{4} and 0 to get 0.

$$sort(0\times \frac{4}{9},\frac{3x}{25}\times \frac{25}{9x})$$

Multiply 0 and \frac{4}{9} to get 0.

$$sort(0,\frac{3x}{25}\times \frac{25}{9x})$$

Multiply \frac{3x}{25} times \frac{25}{9x} by multiplying numerator times numerator and denominator times denominator.

$$sort(0,\frac{3x\times 25}{25\times 9x})$$

Cancel out 3\times 25x in both numerator and denominator.

$$sort(0,\frac{1}{3})$$

Convert decimal numbers in the list 0,\frac{1}{3} to fractions.

$$0,\frac{1}{3}$$

Evaluate

$$0,\ \frac{1}{3}$$