The number of a fraction is 6 less than its denominator if number is decreased by 4 and the denominator by 1, the fraction becomes 5/8, find the fraction
Answers
Answer:
19/25
Step-by-step explanation:
Given :-
A numerator of a fraction is 6 less than it's denominator. If the numerator is decreased by 4 and denominator is decreased by 1 the fraction becomes 5/8.
To find :-
Required fraction
Solution :-
Let the denominator be x
A numerator of a fraction is 6 less than it's denominator.
Numerator = x - 6
If the numerator is decreased by 4 and denominator is decreased by 1 the fraction becomes 5/8.
According to the given condition
→ x - 6 - 4/x - 1 = 5/8
→ x - 10/x - 1 = 5/8
→ 8(x - 10) = 5(x - 1)
→ 8x - 80 = 5x - 5
→ 8x - 5x = 80 - 5
→ 3x = 75
→ x = 75/3
→ x = 25
Hence,
Required fraction = Numerator/denominator
x - 6/x = 25 - 6/25 = 19/25.
i hope this will helpful for U
PLZ MARK ME AS BRAINLIST.