I am equivalent to 2/3 . My denominator is 10 more than my numerator. what fraction am I
Answers
Answer:
I hope you are satisfied.
please follow me
Given:
A fraction is equivalent to 2/3.
The denominator of fraction = 10 more than the numerator
= 10 + numerator
Find:
The fraction which is equivalent to 2/3.
Answer:
The fraction which is equivalent to 2/3 is 20/30.
Solution:
Let the numerator of the fraction be x.
∴ Denomiator = 10 + x ------------------- (i)
Fraction = x/(10 + x)
According to question, we have
x/(10 + x) = 2/3
On cross multiplying the above equation, we get
3x = 2(10 + x)
3x = 20 + 2x
3x - 2x = 20
x = 20
∴ Numerator of the fraction, x = 20
Puting the value of x in (i), we get
Denominator of the fraction = 10 + (20)
= 10 + 20
= 30
Now, the fraction = x/(10 + x)
= 20/30
Hence, the required fraction 20/30.
#SPJ2