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

Step-by-step explanation:

Given:

The fraction is $\frac{9}{6}$

By solving the above fraction to its simplest form we get

$\frac{9}{6}=\frac{3\times3}{2\times2}=\frac{3}{2}$

Now For Option A which is $\frac{2}{3}$

Give fraction is $\frac{3}{2}$

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

Now For Option B which is $\frac{3}{2}$

Give fraction is $\frac{3}{2}$

We can say that it is equivalent to given fraction.

Now For Option C which is $1\frac{1}{2}$

Solving above equation to simplest form we get,

$1\frac{1}{2}= \frac{1\times2+1}{2}=\frac{3}{2}$

Give fraction is $\frac{3}{2}$

We can say that it is equivalent to given fraction.

Now For Option D which is $\frac{18}{12}$

Solving above equation to simplest form we get,

$\frac{18}{12}= \frac{6 \times 3}{6 \times 2} = \frac{3}{2}$

Give fraction is $\frac{3}{2}$

We can say that it is equivalent to given fraction.

Hence all answer B C and D are all equal to $\frac{3}{2}$ except A which is $\frac{2}{3}$