One more!

The denominator of a fraction is 1 more than the numerator. If the numerator is decreased by 1, the value of the resulting fraction is 3/4. What is the original fraction?

Question

One more! 

The denominator of a fraction is 1 more than the numerator. If the numerator is decreased by 1, the value of the resulting fraction is 3/4. What is the original fraction?

anonymous · Answer

Let the fraction be x/y.Now here given that y=x+1 and also (x-1)/y=3/4.So there you go two equations.Now solving

diyadiya · Answer

Pavan has given you the two equations 

Let me write it down again 
Let the fraction be $ \frac{x}{y}$

Denominator y= x+1
If the numerator is decreased by 1, the value of the resulting fraction is 3/4.
$$\frac{(x-1)}{y}= \frac{3}{4}$$

diyadiya · Answer

$$y=x+1 \tag{1}$$$$\frac{x-1}{y}= \frac{3}{4}\tag{2}$$ Can ypu simplify the second equation ?

anonymous · Answer

Hmmmmm maybe get rid of the fraction on the left, so it looks like this? 

x-1=3/4y? (not 4y but 3/4 times y?)

diyadiya · Answer

Yes, But just try to cross multiply ,it'll look simpler :)

anonymous · Answer

If we xmultiply, isn't it 4(x-1)=3y?

anonymous · Answer

Oh then plug in y=x+1 SOLVING!

anonymous · Answer

Fraction: 7/8   Diyadiya thank you so much!

diyadiya · Answer

Glad to Help :D