Question

the numerator of a fraction is 9 and the denominator is6. all of the following numbers are equivalent except

Answer 1

Question is incomplete, complete question is given below.

The numerator of a fraction is 9 and the denominator is 6. All of the following numbers are equivalent except _____.

A) 2/3

B)3/2

C)1 1/2

D)18/12

Answer:

A) 2/3

Explanation:

Given:

The fraction is
`(9)/(6)`

By solving the above fraction to its simplest form we get

`(9)/(6)=(3*3)/(2*2)=(3)/(2)`

Now For Option A which is
`(2)/(3)`

Give fraction is
`(3)/(2)`

We can say that it is Not equivalent to given fraction.

Now For Option B which is
`(3)/(2)`

Give fraction is
`(3)/(2)`

We can say that it is equivalent to given fraction.

Now For Option C which is
`1(1)/(2)`

Solving above equation to simplest form we get,

`1(1)/(2)= (1*2+1)/(2)=(3)/(2)`

Give fraction is
`(3)/(2)`

We can say that it is equivalent to given fraction.

Now For Option D which is
`(18)/(12)`

Solving above equation to simplest form we get,

`(18)/(12)= (6 * 3)/(6 * 2) = (3)/(2)`

Give fraction is
`(3)/(2)`

We can say that it is equivalent to given fraction.

Hence all answer B C and D are all equal to
`(3)/(2)` except A which is
`(2)/(3)`