Answer :
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 [tex]\frac{9}{6}[/tex]
By solving the above fraction to its simplest form we get
[tex]\frac{9}{6}=\frac{3\times3}{2\times2}=\frac{3}{2}[/tex]
Now For Option A which is [tex]\frac{2}{3}[/tex]
Give fraction is [tex]\frac{3}{2}[/tex]
We can say that it is Not equivalent to given fraction.
Now For Option B which is [tex]\frac{3}{2}[/tex]
Give fraction is [tex]\frac{3}{2}[/tex]
We can say that it is equivalent to given fraction.
Now For Option C which is [tex]1\frac{1}{2}[/tex]
Solving above equation to simplest form we get,
[tex]1\frac{1}{2}= \frac{1\times2+1}{2}=\frac{3}{2}[/tex]
Give fraction is [tex]\frac{3}{2}[/tex]
We can say that it is equivalent to given fraction.
Now For Option D which is [tex]\frac{18}{12}[/tex]
Solving above equation to simplest form we get,
[tex]\frac{18}{12}= \frac{6 \times 3}{6 \times 2} = \frac{3}{2}[/tex]
Give fraction is [tex]\frac{3}{2}[/tex]
We can say that it is equivalent to given fraction.
Hence all answer B C and D are all equal to [tex]\frac{3}{2}[/tex] except A which is [tex]\frac{2}{3}[/tex]