8. The numerator of a fraction is 1 less than its
denominator. If the numerator is increased by
4 and the denominator is increased by 5, the
new fraction becomes 4/5.What is the original
fraction?
Answers
Answered by
15
Answer:
Step-by-step explanation:
Let the denominator be x
The numerator be (x-1)
So the fraction =x-1/x
Aq
(x-1)+4/x+5=4/5
x+3/x+5=4/5
4(x+5)=5(x+3)
4x+20=5x+15
5x-4x=20-15
x=5 (the denominator)
x-1=5-1=4 (the numerator)
Hence the fraction is 4/5
Hope it helps:)
Similar questions
Math,
1 month ago
History,
1 month ago
Math,
1 month ago
Social Sciences,
2 months ago
Chemistry,
9 months ago
Environmental Sciences,
9 months ago