Question

The numerator is of the fraction is 4 less than denominator . If the numerator is decreased by 2 and denominator increased by 1,then the denominator is eight times the numerator.find the fraction?

Answer 1

Answer:

3/7

Step-by-step explanation:

x-4/x is the fraction.

(x-4-2) * 8 = (x+1)

(x - 6) * 8 = x + 1

8x - 48 = x + 1

7x = 49

x = 49/7 = 7

x-4 = 3

So the fraction = 3/7

Answer 2

Given :

→ The numerator of a fraction is 4 less than denominator.if the numerator is decreased by 2 and denominator is increased by 1 then denominator is eight times numerator.

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Find :

→ The fractional form.

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Solution :

→ Let "x/y" be fractional form.

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→ x = y - 4

→ x - y = - 4 -----(1)

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→ 8(x - 2) = y + 1

→ 8x - 16 = y + 1

→ 8x - y = 17 -----(2)

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Subtract the equations:

→ 8x - y = 17

→ -7x = -21

→ x = 21/7 = 3

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Adding "x = 3" in equation (1):

→ 3 - y = - 4

→ y = 3 + 4 = 7

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Therefore ,

→ x = 3

→ y = 7

→ Fractional form = (3/7).