Answer:
The division was incorrectly solved.
Step-by-step explanation:
Given
[tex]\frac{2}{5} / \frac{8}{9} =\frac{5}{2} * \frac{8}{9} =\frac{5*8}{2*9} = \frac{20}{9}[/tex]
Required
Explain why it is wrong
The solution is wrong because the division was incorrectly solved.
When fraction a/b is divided by c/d, the solution is:
[tex]\frac{a}{b}/\frac{c}{d} = \frac{a}{b} * \frac{d}{c}[/tex]
It should be noted that:
[tex]\frac{a}{b}/\frac{c}{d} \ne \frac{b}{a} * \frac{c}{d}[/tex]
The solution to the quotient is:
[tex]\frac{2}{5} / \frac{8}{9} =\frac{2}{5} * \frac{9}{8} =\frac{2*9}{5*8} = \frac{9}{20}[/tex]
