The numerator of a fraction is 4 less than its denominator . It 2 is added to the numerator , then the fraction becomes 5/7 . Find the fraction.
Answers
then ,numerator = (x - 4)
original fraction = ( x - 4)/ x
If 2 is added to the numerator:
------------------
New numerator= (x - 4) + 2
= (x - 2)
new fraction = (x - 2)/ x
since, the new fraction formed = 5 / 7
so then ,
(x - 2)/ x = 5 / 7
7( x - 2) = x (5)
7x - 14 = 5x
2x = 14 => x = 7 ,
original fraction = (x - 4)/ x
= (7 - 4)/ 7 = 3/ 7
Answer: required fraction = 3/ 7
----------------------------------------------------
Answer:
let the denominator of original fraction = x
then ,numerator = (x - 4)
original fraction = ( x - 4)/ x
If 2 is added to the numerator:
------------------
New numerator= (x - 4) + 2
= (x - 2)
new fraction = (x - 2)/ x
since, the new fraction formed = 5 / 7
so then ,
(x - 2)/ x = 5 / 7
7( x - 2) = x (5)
7x - 14 = 5x
2x = 14 => x = 7 ,
original fraction = (x - 4)/ x
= (7 - 4)/ 7 = 3/ 7
Answer: required fraction = 3/ 7
Step-by-step explanation:let the denominator of original fraction = x
then ,numerator = (x - 4)
original fraction = ( x - 4)/ x
If 2 is added to the numerator:
------------------
New numerator= (x - 4) + 2
= (x - 2)
new fraction = (x - 2)/ x
since, the new fraction formed = 5 / 7
so then ,
(x - 2)/ x = 5 / 7
7( x - 2) = x (5)
7x - 14 = 5x
2x = 14 => x = 7 ,
original fraction = (x - 4)/ x
= (7 - 4)/ 7 = 3/ 7
Answer: required fraction = 3/ 7