Question

find (x + y) ÷ ( x - y) , if x= 2/3 and y = -1/4​

Answer 1

Question

find (x + y) ÷ ( x - y) , if x= 2/3 and y = -1/4

$\sf{Answer= \bold{\dfrac{5}{11}}}$

Step by step explanation

$\sf{\dfrac{(x + y)}{( x - y)}\ \ \ \ \ \ \ \ (i)}$

Putting the value of x and y in equation (i)

$\sf{\Rightarrow\dfrac{\frac{2}{3} + ( - \frac{1}{4}) }{ \frac{2}{3} - ( - \frac{1}{4} )}}$

$\sf{\Rightarrow\dfrac{\frac{2}{3} - \frac{1}{4} }{ \frac{2}{3} + \frac{1}{4} }}$

$\sf{\Rightarrow\dfrac{ \dfrac{8 - 3}{12} }{ \dfrac{8 + 3}{12} }}$

$\sf{\Rightarrow \dfrac{\frac{5}{12}}{ \dfrac{11}{12}}}$

$\sf{\Rightarrow \dfrac{5}{{12}} \times \dfrac{{12}}{11} }$

$\sf{\Rightarrow \dfrac{5}{\cancel{12}} \times \dfrac{\cancel{12}}{11} }$

$\sf{\Rightarrow \dfrac{5}{11}}$

Answer 2

$\sf \pmb{Answer :}$

Question

find (x + y) ÷ ( x - y) , if x= 2/3 and y = -1/4

$\sf{Answer= \bold{\dfrac{5}{11}}}$

Step by step explanation

$\sf{\dfrac{(x + y)}{( x - y)}\ \ \ \ \ \ \ \ (i)}$

Putting the value of x and y in equation (i)

$\sf{\Rightarrow\dfrac{\frac{2}{3} + ( - \frac{1}{4}) }{ \frac{2}{3} - ( - \frac{1}{4} )}}$

$\sf{\Rightarrow\dfrac{\frac{2}{3} - \frac{1}{4} }{ \frac{2}{3} + \frac{1}{4} }}$

$\sf{\Rightarrow\dfrac{ \dfrac{8 - 3}{12} }{ \dfrac{8 + 3}{12} }}$

$\sf{\Rightarrow \dfrac{\frac{5}{12}}{ \dfrac{11}{12}}}$

$\sf{\Rightarrow \dfrac{5}{{12}} \times \dfrac{{12}}{11} }$

$\sf{\Rightarrow \dfrac{5}{\cancel{12}} \times \dfrac{\cancel{12}}{11} }$

$\sf{\Rightarrow \dfrac{5}{11}}$