If the same number is added to both the numerator and denominator of a fraction 3/5 , then the result is 3/4 . Find the number?
Answers
Answered by
2
Answer:
x=3
Step-by-step explanation:
3+x/5+x=3/4
4(3+x)=3(5+x)
12+4x=15+3x
4x-3x=15-12
x=3
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Answered by
1
Answer:
3 is the number.
Step-by-step explanation:
Let the number be x.
Numerator = 3
Denominator= 5
If the number is added to both numerator and denominator,
The new numerator will be 3 + x.
The new denominator will be 5 + x.
The new fraction is 3 + x/5+x
The new fraction is equal to 3/4
= 3+x/5+x = 3/4
= 3(5+x) =4(3+x) (cross multiplication)
= 15 + 3x = 12 + 4x.
= 15-12 = 4x - 3x
= 3 = 1x
x = 3 .
The number is 3 .
Verification-:
Put the value 3 instead of x.
=3+x/5+x = 3/4
= 3+3/5+3 = 3/4
= 6/8 = 3/4
(cancel 6/8 by 2)
= 3/4 = 3/4 .
So 3 is the correct answer.
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