Question

Which values of a,b and c represent the answer in simplest form

Answer 1

`1 (3)/(4)`

Fractional division is fractional multiplication with the second fraction the reciprocal of itself. This means the problem can be written as
`(7)/(9)*(9)/(4)`. Fractional multiplication results in the multiplication of the numerators and denominators---in this case,
`(7)/(4)=1(3)/(4)`

Answer 2

Option B) a = 1, b = 3, c = 4

Explanation:

We are given the following information in the question:

We are given an expression:

`\displaystyle(7)/(9) / (4)/(9) = a(b)/(c)`

The solving of the above expression can be done in the following manner:

`\displaystyle(7)/(9) / (4)/(9)\\\\(7)/(9)* (9)/(4)\\\\(7)/(4) =((4* 1) + 3)/(4)= 1(3)/(4)`

Comparing the right side of the expression, we have,

`a\displaystyle(b)/(c) = 1(3)/(4)`

Comparing, we get,

a = 1, b = 3, c = 4

Option B) s the correct option.