Question

Convert into fraction: 0.6
A. \[\dfrac{6}{100}\]
B. \[\dfrac{6}{10}\]
C. \[60\]
D. \[\dfrac{6}{1}\]

Answer 1

Hint: We first define the difference between the fractional and the decimal representation of numbers. We illustrate how we change from the decimal form to fractional form. We discuss how the number of digits after the decimal point decides the denominator of the fraction. The number in the decimal part itself decides the numerator.

Complete step by step answer:
We have been provided with a fraction of 0.6. we need to convert it into a fraction.
Fraction is created when we are dividing a number by ${{10}^{n}}$ where $n\in \mathbb{N}$. n decides the number of digits after the decimal point.
Decimal or fractional numbers can be represented as a set of R.
Fractional numbers can be pure fraction or mixed fraction.
Keeping 0 on the right side of any digit after decimal is unnecessary.
In case of 0.6, we are dividing 6. After decimal there are 1 number only
So, we are dividing 6 by ${{10}^{1}}=10$.
The fractional form of 0.6 will be $\dfrac{6}{10}$.

So, the correct answer is “Option B”.

Note: We need to remember that both 0.6 and 0.600 are equal. It’s irrelevant how many 0 we can use after the number. The denominator and the numerator both increase with more zeros after the decimal number.