The fraction x/2 = y/9, option (B) is the correct answer.
What is a fraction?
"A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole. A fraction has two parts, namely numerator, and denominator. The number on the top is called the numerator, and the number on the bottom is called the denominator".
For the given situation,
The fraction is (x+2)/2 = (y+9)/9
If [tex]\frac{(x+2)}{2} =\frac{x}{2}[/tex]
then [tex]\frac{(y+9)}{9} =\frac{y}{9}[/tex]
Let's assume, x=1 and y=1
[tex]\frac{(x+2)}{2} =\frac{x}{2}[/tex]
⇒ [tex]\frac{3}{2} =\frac{1}{2}[/tex]
⇒ [tex]1.5=0.5[/tex]
The difference is 1.
[tex]\frac{(y+9)}{9} =\frac{y}{9}[/tex]
⇒ [tex]\frac{(1+9)}{9} =\frac{1}{9}[/tex]
⇒ [tex]\frac{(1+9)}{9} =\frac{1}{9}[/tex]
⇒ [tex]1.11=0.11[/tex]
The difference is 1.
Hence we can conclude that the fraction x/2 = y/9, and option (B) is the correct answer.
Learn more about fractions here
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