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

The division was incorrectly solved.

Explanation:

Given

`(2)/(5) / (8)/(9) =(5)/(2) * (8)/(9) =(5*8)/(2*9) = (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:

`(a)/(b)/(c)/(d) = (a)/(b) * (d)/(c)`

It should be noted that:

`(a)/(b)/(c)/(d) \\e (b)/(a) * (c)/(d)`

The solution to the quotient is:

`(2)/(5) / (8)/(9) =(2)/(5) * (9)/(8) =(2*9)/(5*8) = (9)/(20)`