Question

Find $x$and $y$
$\frac{17}{11}+\frac{x}{y}$ = $\frac{25}{11}$

• A. $\frac{8}{11}$
  
• B. $\frac{5}{11}$
  
• C. $\frac{7}{11}$
  
• D. $\frac{9}{11}$
  

Answer 1

The correct option is A $\frac{8}{11}$


Given,
$\frac{17}{11}+\frac{x}{y}$ = $\frac{25}{11}$

$\frac{x}{y}=\frac{25}{11}-\frac{17}{11}$

As the fractions on RHS are like fractions, we can subtract the numerators directly and denomiantors remain the same.

$\frac{x}{y}=\frac{25-17}{11}$

$\frac{x}{y}=\frac{8}{11}$

Hence, on comparison
$\frac{25}{11}-\frac{17}{11}=\frac{x}{y}=\frac{8}{11}$

$x=8$
$y=11$