Question

Ramu is reading a book of 100 pages. Ramu read half the book. How many pages are still to be read to complete the book?

Answer 1

Hint: We first find the remaining fraction of the book. We find the total number and how the fraction on that number works. We find the simplified for the fraction and the solution.

Complete step by step solution:
Ramu is reading a book of 100 pages. Ramu read $ \dfrac{1}{2} $ the book. Therefore, he is left with $ \dfrac{1}{2} $ of the book remaining.
The number of pages will be $ \dfrac{1}{2} $ of 100 which is equal to $ \dfrac{100}{2} $ .
We need to find the simplified form of the proper fraction $ \dfrac{100}{2} $ .
For any fraction $ \dfrac{p}{q} $ , we first find the G.C.D of the denominator and the numerator. If it’s 1 then it’s already in its simplified form and if the G.C.D of the denominator and the numerator is any other number d then we need to divide the denominator and the numerator with d and get the simplified fraction form as $ \dfrac{\dfrac{p}{d}}{\dfrac{q}{d}} $ .
For our given fraction $ \dfrac{100}{2} $ , the G.C.D of the denominator and the numerator is 2.
 $ \begin{align}
  & 2\left| \!{\underline {\,
  2,100 \,}} \right. \\
 & 1\left| \!{\underline {\,
  1,50 \,}} \right. \\
\end{align} $
Now we divide both the denominator and the numerator with 2 and get $ \dfrac{\dfrac{100}{2}}{\dfrac{2}{2}}=50 $ .
The remaining number of pages is 50.
So, the correct answer is “50”.

Note: We could have also used the number of pages Ramu has already read which would be also equal to $ \dfrac{100}{2}=50 $ and subtract from 100 to get $ 100-50=50 $ .