Question

Explain why this is wrong 2/ 5 ÷ 8 / 9 = 5 / 2 × 8 / 9 = — 5 × 8 2 × 9 = 20 / 9 Describe and correct the error in finding the quotient.
help

Answer 1

Answer:

The division was incorrectly solved.

Step-by-step explanation:

Given

$\frac{2}{5} / \frac{8}{9} =\frac{5}{2} * \frac{8}{9} =\frac{5*8}{2*9} = \frac{20}{9}$

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:

$\frac{a}{b}/\frac{c}{d} = \frac{a}{b} * \frac{d}{c}$

It should be noted that:

$\frac{a}{b}/\frac{c}{d} \ne \frac{b}{a} * \frac{c}{d}$

The solution to the quotient is:

$\frac{2}{5} / \frac{8}{9} =\frac{2}{5} * \frac{9}{8} =\frac{2*9}{5*8} = \frac{9}{20}$