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What number must be subtracted from both the numerator and denominator of the fraction 1519\frac{15}{19}1915​​ so as to make it 34\frac{3}{4
Question

What number must be subtracted from both the numerator and denominator of the fraction 1519\frac{15}{19}​ so as to make it 34\frac{3}{4} ?

A.

5

B.

9

C.

6

D.

3

Correct option is D

Given:

Original fraction =1519 \frac{15}{19}​​
Required fraction after subtraction =34 \frac{3}{4}​​

Solution:
Let the number to be subtracted from both numerator and denominator be x.

15x19x=34\frac{15 - x}{19 - x} = \frac{3}{4}

60 - 4x = 57 - 3x

60 - 57 = 4x - 3x

3 = x

Required number = 3

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