Q.6 The numerator of a fraction is 6 less than the denominator. If 3 is added to the numerator, the fraction is equal to 2/3. What is the original fraction equal to?
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Answer:
The original fraction is equal to 3/9
Step-by-step explanation:
Let the fraction is x/y
ATQ,
The numerator of a fraction is 6 less than the denominator.
x = y-6
x+6 = y
Again ATQ,
If 3 is added to the numerator the fraction becomes ⅔
x / y
x / x+6 [y=x+6]
(x+3) / (x+6) = ⅔
3×(x+3) = 2×(x+6)
3x+9 = 2x+12
3x - 2x = 12 - 9
1x = 3
X=3
Y=X+6
Y=3+6
Y=9
Y=9
Hence, the original fraction is equal to 3/9
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