Question

What is \[\dfrac{1}{2}\] divided by \[0.05\]?

Answer 1

Hint: We have to divide \[\dfrac{1}{2}\] by \[0.05\]. This can be solved by converting them into one form I.e. either convert both of them to fractional form or convert both of them into decimal form for easy calculation of the problem.

Complete step-by-step solution:
Let us solve the given problem now.
Firstly, let us convert both of them into fractional form.
We can find that \[\dfrac{1}{2}\] is already in fractional form, we are left with\[0.05\] to be converted into fractional form.
In order to convert a decimal into fraction with two decimal places, write the numeric part from the numerator without the decimal point and write the denominator with as many zeroes as the number of decimal places.
On converting we get,
\[0.05=\dfrac{5}{100}\].
Since both of them are in the same form i.e. fractional form, now let us divide \[\dfrac{1}{2}\] by \[\dfrac{5}{100}\].
On dividing, we get
\[\begin{align}
  & \dfrac{\dfrac{1}{2}}{\dfrac{5}{100}}=\dfrac{1}{2}\times \dfrac{100}{5} \\
 & =\dfrac{100}{10} \\
 & =10 \\
\end{align}\]
\[\therefore \] The solution for the given problem is \[10\].

Now let us solve it by converting both of them into decimals.
Since \[0.05\] is already in a decimal form, let us convert \[\dfrac{1}{2}\] into decimal form.
\[\dfrac{1}{2}\] can be converted into decimal form by performing simple division.
On converting \[\dfrac{1}{2}\] into decimal form, we get \[0.5\]
Now, we have both of them in the same form i.e. decimal form.
So let us perform the calculation.
\[\dfrac{0.5}{0.55}=10\]
Simplify it using the table of \[5\].
From both of the methods, we get \[10\] as the answer.

Note: The decimals can be converted into fraction with different numerator and denominator but on simplification it should result in the same decimal number. This can also be simplified without changing the forms, but the calculation part would be difficult and would be time taking.