Question

if 4 is added to both numerator and denominator of a fraction it becomes 3 by 5 and if three separated from numerator and denominator it becomes 1 by 4 find the fraction​

Answer 1

Step-by-step explanation:

Let the fraction be

q

p

q+1

p+1

=

5

4

⇒5(p+1)=4(q+1)

⇒5p+5=4q+4

⇒5p+1=4q

⇒q=

4

5p+1

q−5

p−5

=

2

1

⇒2p−10=q−5

⇒2p−10=

4

5p+1−20

⇒8p−40=5p−19

⇒3p=21

p=7

q=

4

36

=9

Fraction =

9

7

.