Question

32.
A fraction becomes 1/3
when 1 is subtracted from the numerator and it and becomes 1/4
when 8 is added to its denominator. Find the fraction.​

Answer 1

Answer:

let the fraction be x/y .

Step-by-step explanation:

now solve the question on the given equation you would find your answer by yourself

1-1/3=8+1/4

Answer 2

$\huge \underline \bold \color{teal} \mathfrak{Answer}$

✴️Let the numerator of the fraction be x and denominator be y.

$fraction = \frac{x}{y}$

✴️When 1 is subtracted from the numerator

$\frac{x - 1}{y} = \frac{1}{3}$

$3x - 3 = y \: \: \: \: eq1$

✴️When 8 is added to the denominator

$\frac{x}{y + 8} = \frac{1}{4}$

$4x = y + 8 \: \: \: \: eq2$

✴️Putting the value of y from eq1 in eq2

$4x = 3x - 3 + 8$

$4x - 3x = 8 - 3$

$x = 5$

✴️From eq1,

$y = 3x - 3$

$y = 3 \times 5 - 3$

$y = 15 - 3$

$y = 12$

$fraction = \frac{5}{12}$

❇️ Hope it helps ❇️

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