Question

The numerator of a fraction is 8 less than its denominator. If 2 is added to both numerator and denominator, fraction becomes 2/8 Find the fraction. ​

Answer 1

Corrected Question :-

• The numerator of a fraction is 8 less than its denominator. If 2 is added to both numerator and denominator, fraction becomes 11/9 Find the fraction ?

Answer :

• The fraction is 9/17.

Given :-

• The numerator of a fraction is 8 less that the denominator. When, 2 is added to both numerator and denominator, fraction becomes 11/9.

To Find :-

• The fraction ?

Solution :-

• Let the Denominator be x.
• And Numerator be (x - 8)

Where, 2 is added,

• 2 is added to denominator = (x + 2)
• 2 is added to numerator = x - 8 + 2 = (x - 6)

• Putting all values,

➻ (x - 6)/(x + 2) = 11/19

➻ 19(x - 6) = 11(x + 2)

➻ 19x - 144 = 11x + 22

➻ 19x - 11x = 22 + 114

➻ 8x = 136

➻ x = 136/8

➻ x = 17

Therefore,

➻ Denominator x = 17

➻ Numerator = x - 8 = 17 - 8 = 9

• Hence, the fraction is 9/17.

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Answer 2

Answer:

Step-by-step explanation:
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