Question

Write the following fraction as a decimal number: $13\dfrac{7}{{40}}$.

Answer 1

Hint: For solving this question, we should have some knowledge of multiplication, addition, and division as we will be requiring these things in these problems. First, convert the proper fraction into an improper fraction. After that divide the numerator by denominator to get the desired result.

Complete step-by-step answer:
Given: - As the given fraction is $13\dfrac{7}{{40}}$.
For converting the common fraction into a decimal number, one way is to convert the common fraction into an improper fraction and then divide the numerator by denominator.
For converting the common fraction into an improper fraction, we need to multiply the denominator with the whole number that is written on the left side of the fraction part, then add the numerator to the result of the multiplication. The result of this process will give us the numerator of the improper fraction required. The denominator will be the same as that of the denominator of the fraction part of the common fraction. This is as follows:
The numerator will be:
$ \Rightarrow 13 \times 40 + 7$
Multiply the terms and then add,
$ \Rightarrow 527$
So, the fraction is,
$ \Rightarrow \dfrac{{527}}{{40}}$
Divide numerator by denominator,
$\therefore 13\dfrac{7}{{40}} = 13.175$

Hence, the fraction $13\dfrac{7}{{40}}$ as a decimal is 13.175.

Note: Definition of addition: Addition is a process of combining two or more similar things to make a new net value.
Definition of multiplication: Multiplication is a process of combining things. In multiplication, things don’t need to be necessarily similar.
Definition of division: Division is a process of distributing things or materials into equal parts. It is one of the four very basic operations of arithmetic operations. The division can also be considered as the inverse operation of the multiplication operation.