if the numerator of a fraction is increased by 20 and the denominator is decreased by 5, the value of the new fraction becomes 5/2 the original number is
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Subject:
Math -
Author:
cassiemduz -
Created:
1 year ago
Answers 2
Answer:
If the numerator of a fraction is increased by 20% and the denominator is decreased by 5%, the value of the new fraction becomes 52.
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Author:
julienvdte
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Rate an answer:
0
Given,
New fraction = 5/2
New numerator = Original numerator + 20
New denominator = Original denominator - 5
To find,
Original number =?
Solution,
Step 1: We can simply solve this numerical problem by using the following process:
Now,
New numerator, n2 = 5
New numerator, n2 = Original numerator,n1 + 20
New denominator, d2 = 2
New denominator,d2 = Original denominator,d1 - 5
Step 2: We have an equation1 :n2 = n1 + 20
Or, 5 = n1 + 20
n1 = 5 - 20
n1 = -15
Step 3: We have an equation2 :d2 = d1 - 5
Or, 2 = d1 - 5
d1 = 2 + 5
d1 = 7
Final Step: Original number = Original numerator/ Original denominator
Original number = -15/7
(This will be considered as the final result.)
Hence, the original number will be -15/7
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