Question

a fraction becomes when subtracted from the number and it becomes when it is added to its determination natta find fraction a 4 upon 12 B 3 upon 13c 5apon12 de 11 apon7​

Answer 1

Answer:

let the fraction is \dfrac{x}{y}

y

x

.

According to the given condition,

A fraction becomes 1/3 when 1 is subtracted from its numerator. So,

$$\begin{lgathered}\dfrac{x-1}{y}=\dfrac{1}{3}\\\\3x-3=y\\\\3x-y=3\ .....(1)\end{lgathered}$$

The fraction becomes 1/4 when 8 is added to its denominator. So,

$$\begin{lgathered}\dfrac{x}{y+8}=\dfrac{1}{4}\\\\4x=y+8\\\\4x-y=8\ .....(2)\end{lgathered}$$

Solving equation (1) and (2) we get :

$$x=5$$

Put x = 5 in equation (1) :

$$\begin{lgathered}3(5)-y=3\\\\y=12\end{lgathered}$$

So, the fraction is $$\dfrac{5}{12}$$ .

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Fraction