Question

Convert $ 0.55 $ into a fraction.
 $
  A.\,\,\dfrac{{11}}{{20}} \\
  B.\,\,\dfrac{2}{9} \\
  C.\,\,\dfrac{3}{9} \\
  D.\,\,\dfrac{4}{9} \\
  $

Answer 1

Hint: For this type of problem in which it is required to convert a given decimal term into fraction terms. We first see how many digits are term after decimal in given decimal term. Then writing decimal as one and number of zeroes as number of digits are there in decimal term in denominator and then writing simplified form of fraction so formed if not in simplified form to get required solution of given problem.

Complete step-by-step answer:
Given, $ 0.55 $
To convert a given decimal term into fraction.
We have to remove decimal into fraction.
To remove decimal we know that there are some steps.
In this we first see how many digits there are three after decimal in a given decimal term.
As, here we can see that there are two terms after decimal.
Hence, there will be two zeros in the denominator.
Then, from above discussion we can see that fraction term related to given decimal term is written as:
 $ 0.55 = \dfrac{{55}}{{100}} $
Now, from above we see that fraction term obtained after converting decimal term into fraction term is not in standard from.
So, we have to simplify the fraction term obtained from the decimal term.
Hence, we can write fraction term as:
 $
\Rightarrow \dfrac{{55}}{{100}} \\
   \Rightarrow \dfrac{{11}}{{20}} \\
  $
Therefore, from above we see that the fraction term related to the given decimal term is $ \dfrac{{11}}{{20}} $ .
Hence, from above we say that the correct option is option (A).
So, the correct answer is “Option A”.

Note: One must see that number of zeroes that will come in denominator after removal of decimal is equivalent to number of digits after decimal in given decimal term and also one should see if fraction term obtained, if not in simplified form then one must convert it into simplified form to get required solution.