Question

the numerator of a fraction is 4 less than its denominator, if two is added to the numerator, the fraction becomes 5/7.find the answer

Answer 1

let denominator be x.
answer is 3/7 .

Answer 2

$<b><font face=copper black size=4 color=red>$

let denominator= x
 $<b><font face=copper black size=4 color=blue>$
numerator = x - 4 
$<b><font face=copper black size=4 color=green>$
adding 2 to numerator 
$<b><font face=copper black size=4 color=orange>$
= x - 4 / x = 5 / 7
$<b><font face=copper black size=4 color=green>$
= 7x - 28 = 5x
$<b><font face=copper black size=4 color=violet>$
​ = 7x - 5x =28
$<b><font face=copper black size=4 color=red>$
2x = 28$<b><font face=copper black size=4 color=orange>$

x = 28 / 2
$<b><font face=copper black size=4 color=purple>$
x = 14
$<b><font face=copper black size=4 color=indigo>$
fraction = 10/14= 5/7