Question

Alexander reads \[\dfrac{1}{8}\] of a book each night. How long will it take him to read \[\dfrac{3}{4}\] of the book?

Answer 1

Hint: From the question we have been given that a person named Alexander reads \[\dfrac{1}{8}\] of a book each night and we are asked to find the time taken by him to complete \[\dfrac{3}{4}\] of the book. So, for solving these questions we will assume the total nights taken to read \[\dfrac{3}{4}\] as x and we will use the multiplication operation mathematics and proceed our calculation and find the solution.

Complete step by step answer:
Firstly, we will assume that the \[x\] be the total nights taken by Alexander to read \[\dfrac{3}{4}\] of his book.
Then we know that \[x\] will be our answer. So, we will find the \[x\] as follows.
Now, we use basic operation in mathematics which is multiplication and proceed further and find the solution to the given question.
So, We know that,
\[\Rightarrow \](portion of book read in one night) \[\times \] (number of nights taken) \[=\dfrac{3}{4}\]
We are given that Alexander reads \[\dfrac{1}{8}\] of a book each night in the question. So, we will substitute this in the above expression.
So, we get the expression reduced as follows.
\[\Rightarrow \dfrac{1}{8}\times x=\dfrac{3}{4}\]
Here we will make x as subject and send the remaining term to the other side of the equation.
\[\Rightarrow x=\dfrac{3}{4}\times 8\]
\[\Rightarrow x=6\]

Therefore, Alexander takes \[6\] days to complete \[\dfrac{3}{4}\] of the book.

Note: Students must be very careful in doing the calculations. Students should have good knowledge in basic operations in mathematics like multiplication and also we must be able to understand the problem very thoroughly. We should not do mistakes in calculations like for example if we write \[\Rightarrow x=\dfrac{3}{4}\times \dfrac{1}{8}\] instead of \[\Rightarrow x=\dfrac{3}{4}\times 8\] then our solution will be wrong.