a fraction has the denominator greater than its numerator by 6. but if you add 8 to the denominateor the value of the fractionwould then become 1/3 can you find this fraction.
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wrong answer would be reported
Answers
Given :
- A fraction has the denominator greater than its numerator by 6.
- You add 8 to the denominateor the value of the fractionwould then become 1/3.
To find :
- The fraction =?
Step-by-step explanation :
Let the numerator of this fraction be x.
Then, the denominator of this fraction be x + 6.
So, the fraction is x / x + 6.
It is Given that :
After adding 8 in the denominator the value will be x + 6 + 8.
According to the question :
➮ x / (x + 6 + 8) = 1/3
➮ 3x = (x + 6 + 8)
➮ 3x = x + 6 + 8
➮ 3x - x = 6 + 8
➮ 2x = 14
➮ x = 14 / 2
➮ x = 7
Therefore, We got the value of, x = 7.
Hence,
The numerator of the fraction, x = 7.
The denominator of fraction, x + 6 = 7 + 6 = 13
Now,
As We know that,
Fraction = numerator / denominator
Substituting the values in the above formula, we get,
= 7/13
Therefore, The fraction will be 7/13.
Answer:
7/13
Step by step solution:
▪ in a fraction,
denominator = numerator + 6
• let the numerator be x
then, denominator = x + 6
thus ,
fraction = x/x+6
According to the question
☆ if 8 is added to the denominator ,
the fraction become 1/3
▪ new denominator = (x+6)+8 = x+14
▪ new fraction = 1/3
which would be equal to x/x+14
x/x+14 = 1/3
3x = x + 14
3x-x = 14
2x = 14
x = 14/2
x=7
denominator = x+6 = 7+6 = 13
Hence the fraction is 7/13
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