the numerator of a fraction is 2 less than the denomimator the sum of the 2 is 8 what is the fraction
Answers
Answer:
3/5
Step-by-step explanation:
let denominator be, x
it's given that numerator is 2 less than denominator= x-2
According to problem (ATP)
(x-2) + x = 8
x-2+x= 8
2x = 8+2
2x = 10
x= 10/2
x = 5
Now as Denominator was x, therefore x = 5
As numerator was (x-2) ,therefore (x-2) = (5-2)= 3
FRACTION = 3/5
Given:
✰ The numerator of a fraction is 2 less than the denominator.
✰ The sum of numerator and denominator = 8
To find:
✠ The fraction.
Solution:
❖ Let's understand the concept first! If we assume and consider the denominator as x so, the numerator of a fraction is 2 less than the denominator that means 2 will be substracted from denominator of a fraction to get the numerator of a fraction and the sum of numerator and denominator is 8, therefore we will add both the denominator of a fraction and the numerator of a fraction to which is equal to 8. Thus, we will obtain one equation as such and after doing required calculations to can easily get the value of both numerator and denominator and then we will form the fraction by them.
- Numerator comes first in the fraction or the upper value or top number in the fraction.
- Denominator comes second in the fraction or the lower number in the fraction.
Let's see how...
Let the denominator of a fraction be x
Let the denominator of a fraction be xthen, the numerator of a fraction be x - 2
According to question,
➤ x + x - 2 = 8
➤ 2x - 2 = 8
➤ 2x = 8 + 2
➤ 2x = 10
➤ x = 10/2
➤ x = 5
∴ The denominator of a fraction = 5
Now, find out the numerator of a fraction
➤ The numerator of a fraction = x - 2
➤ The numerator of a fraction = 5 - 2
➤ The numerator of a fraction = 3
∴ The numerator of a fraction = 3
Now, the fraction = Numerator/Denominator
✭ The fraction = 3/5
∴ The fraction = 3/5
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