Question

If 14.287628762876........ can be represented in $\frac{p}{q}$ form, then 'p - q ' is ________.

• A. 132863
• B. 142862
• C. 142876
• D. 142863

Answer 1

The correct option is A

132863

Let 'x' = 14.287628762876 ------- (i)

then 10000x = 142876.287628762876 --------(ii)

Subtracting (i) from (ii) we get

10000x - x = 142876.287628762876 - 14.287628762876

9999x = 142862

then 'x' = $\frac{142862}{9999}$

p = 142862, q = 9999

So, p-q = 132863