Question

Express 0.5 as a fraction?

Answer 1

Hint: To convert decimal into fraction there is no need for decimal to fraction formula but just three simple steps that we need to follow.
• Write the given decimal without the decimal point as a numerator.
• Take 1 annexed with as many zeroes as is the number of decimal places in the given decimal as a denominator. This form is known as decimal fraction.
• Reduce the above fraction in the simplest form.

Complete step by step answer:
Here, 0.5 is said as five-tenths. This is because it is one place after the decimal.
Let us go through steps 1 and 2.
The first step is to write the given decimal without the decimal point as a numerator. And the second step is to take 1 annexed with as many zeroes as is the number of decimal places in the given decimal as a denominator. This form is known as decimal fraction.
Therefore,
$ \Rightarrow 0.5 = \dfrac{5}{{10}}$
The third step is to reduce the above fraction in the simplest form.
Therefore,
 $ \Rightarrow 0.5 = \dfrac{1}{2}$
Hence, the fraction of decimal 0.5 is $\dfrac{1}{2}$.

Note: Decimal fraction: A fraction where the denominator is a power of 10 such as 10, 100, 1000, etc is called decimal fraction.
There is another method to solve this question.
Let us write the decimal into its exponent form.
$ \Rightarrow 0.5 = 0 \times {10^0} + 5 \times {10^{ - 1}}$
Let us simplify the right-hand side.
That is equal to,
$ \Rightarrow 0.5 = 0 \times 1 + \dfrac{5}{{10}}$
Therefore,
$ \Rightarrow 0.5 = \dfrac{5}{{10}}$
Convert the above step into its simplest form.
So,
$ \Rightarrow 0.5 = \dfrac{1}{2}$