Numerator and denominator of a fraction are in the ratio of 3:5 . if 4 is subtracted from the numerator,it reduces to 2/5.find the fraction.
Answers
Answer:
3/5
Step-by-step explanation:
if numerator and denominator of a fraction is in a ratio, the ratio in simplest form is equal to the fraction in simplest form
i.e. if numerator and denominator are in ratio 3:5
=> the fraction is 3/5
...
still let's do it in the formal way
given, numerator and denominator of a fraction are in the ratio of 3:5
so let numerator be 3x and denominator be 5x
also given, if 4 is subtracted from the numerator, it reduces to 2/5
=> (3x-5)/5x = 2/5
=> 15x-25 = 10x
=> 5x = 25
=> x = 5
=> 3x/5x = 15/25 = 3/5
Answer:L
Let the numerator be 3x
Then, the denominator is 5x
the fraction is (3x)/(5x)
According to question,
if 4 is subtracted from numerator, the new numerator is (3x) - 4
As per question,
(3x - 4)/ 5x =2/5
5(3x - 4)=2 x 5x
15x-20 = 10x
15x-10x = 20
5x =20
x =20/5
x=4
now the fraction is (3x)/(5x)
= (3x4)/ (5 x4)
= 12/20 or
= 3/5
I hope it helped you.