Question

How to make \[2.1\] it into a fraction?

Answer 1

Hint: We need to convert the given decimal term into a whole number term. After that, we need to convert the whole decimal term into a fraction term. We need to multiply a common term with the numerator and denominator of the fraction term to make the easy calculation. We need to multiply the numerator term with the numerator term and the denominator term with denominator term if we have two fraction terms in the multiplication.

Complete step-by-step solution:
The given question is shown below,
\[2.1 = ?\]
We have to convert the above-mentioned term.
We know that every fraction term will have a numerator and denominator term. To convert the decimal term into a fraction term, first, we would convert it into a whole numbers term.
When we multiply \[10\] with the given term \[2.1\] it converts into the whole number term \[21\].
\[2.1 \times 10 = 21\]
We know that\[21\]can also be written as \[\dfrac{{21}}{1}\]. So, we get \[2.1\] can also be written as \[\dfrac{{2.1}}{1}\].
 Let’s multiply the term\[10\]on both the numerator and denominator of the above-mentioned term. So, we get
\[\dfrac{{2.1}}{1} \times \dfrac{{10}}{{10}} = \dfrac{{21}}{{10}}\]
By multiplying \[10\] on the numerator and denominator the value \[2.1\]will not be changed.
The above equation can also be written as,
\[2.1 = \dfrac{{21}}{{10}}\]
So, the final answer is,
\[2.1 = \dfrac{{21}}{{10}}\]


Note: Note that\[0.1\]can also be written as \[1 \times 10\]\[0.01\] can also be written as \[1 \times 100\] and \[0.001\] can also be written as \[1000\]. By using these concepts we can easily solve these types of questions. Also, this type of questions describes the operation of addition/ subtraction/ multiplication/ division. Note that the denominator term would not be equal to zero. If we multiply any one term in the numerator for making an easy calculation we have to multiply the same term with the numerator at the same time.