Q:

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

Accepted Solution

A:
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) 2/3B)3/2C)1 1/2D)18/12Answer:A) 2/3Step-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]