Question

How do you write the $\dfrac{3}{4}$ as decimal?

Answer 1

Hint:
We can convert any fraction to a decimal in many different ways some of which are by converting the denominator to a power of $10$ or by using a long division method.

Complete step by step solution:
First of all we should know what a decimal is, a decimal is simply a representation of a system of numbers based on the number ten, tenth parts and powers of ten. We will convert the given fraction into another equivalent fraction with a denominator of power $10$.
As we know, in the fraction $\dfrac{3}{4}$ , denominator $=4$ .
We need to look for the smallest multiple of $4$ which is a power of$10$.
Now, as we know 100 is the second power of $10$ and also divisible by $4$ .
To convert the denominator to $100$ , we will multiply both the numerator and denominator by $25$ .
 $\dfrac{3\times 25}{4\times 25}=\dfrac{75}{100}$
As we can see there are $2$ zero in the denominator, we can write it as
 $\dfrac{75}{100}=0.75$.

Hence, the decimal form of $\dfrac{3}{4}$ is $0.75$.

Note:
Decimals are generally used to represent fractions whose value is not an integer.
The decimal system has a base in the power of $10$.
Decimal is simply a representation of a system of numbers based on the number ten, tenth parts and powers of ten.