Question

How do you change $ 0.50 $ into a fraction?

Answer 1

Hint: In order to change the decimal $ 0.50 $ into a fraction first have a look at how many digits counting from right to left the decimal is placed. Now remove the decimal by dividing the value with power of $ 10 $ as the same number of digits counted after the decimal and remove the decimal point. Simplify it to the smallest fraction and get the result in fraction.

Complete step by step solution:
We are given a value in decimal $ 0.50 $ .
Since, we can see that the number of digits after the decimal is $ 2 $ . So, divide only the real number value with no zero before decimal and no decimal point by $ 10 $ to the power of $ 2 $ and we get:
 $
  0.50 \\
   = \dfrac{{50}}{{{{10}^2}}} \\
  $
Expand $ 10 $ for $ 2 $ , as we know that value can be written for the number of times the power is given and we get:
 $ \dfrac{{50}}{{{{10}^2}}} = \dfrac{{50}}{{100}} $
To simplify it in the simplest fraction we know that $ 100 $ can be divided by $ 50 $ in $ 2 $ times and we get:
 $ \dfrac{{50}}{{100}} = \dfrac{1}{2} $
Therefore, the value of $ 0.50 $ in fraction is $ \dfrac{1}{2} $ .
So, the correct answer is “ $ \dfrac{1}{2} $ ”.

Note: The vice versa can be done in the same way, first the denominator should be made a multiple of $ 10 $ , then place the decimal on the left starting from right digit counting the number of power given.
To calculate fraction from the percentage, divide the given percentage value by 100
For example: We have to write $ 70\% $ into fraction
 $
   = \dfrac{{70}}{{100}} \\
   = \dfrac{7}{{10}} \;
  $
 Or
 $ = 0.7 $
Cross check your result at least once.
Do not write only $ 5 $ instead of $ 50 $ , otherwise it would result in error. Always replace the zero on the left side of the decimal if given not the zero on the right side of the decimal.