Question

Convert $ - 4\dfrac{3}{4}$ into a decimal and percentage form

Answer 1

Hint: To solve this, first convert the mixed fraction into fraction. Then convert it into decimal and percentage form using the fraction. We can achieve two parts using the fraction itself. So it is very important to convert the mixed fraction into fraction.

Complete step-by-step solution:
Let’s convert the mixed fraction into fraction, for that we consider the mixed fraction,
$ - 4\dfrac{3}{4}$
To convert, we have to multiply $4\times4$ and then add it with $3$ and at last divide it by 4, we get,
$ - \dfrac{{19}}{4}$
This is our required fraction form.
And now let’s convert this fraction in to decimal form, if we divide $19$ by $4$, we get
$ - 4.75$
This is our required decimal value for $ - 4\dfrac{3}{4}$
Now, let’s convert $ - 4\dfrac{3}{4}$ in to percentage, for that let’s write it in the fraction,
$ - \dfrac{{19}}{4}$
Multiply it with $100$, we get,
$\dfrac{{ - 19}}{4}\times100 = - 19\times25 = - 475$$\% $
This is the required solution.

Additional information: Let consider a problem, convert \[0.545\] in to percentage and now change this into fraction, we get $\dfrac{{545}}{{1000}}$, to convert it into percentage we have to multiply it with $100$ we get $54.5\% $. This is our required answer. This is just another model which seems to be confusing and there are three different models in this topic. If you find time, go through all those problems.

Note: Let us consider a mixed fraction $2\dfrac{3}{6}$, in this problem we cancel $\dfrac{3}{6}$ with the multiple of $3$ by doing this the number will be reduced to unit fraction. And this will be useful when we are dealing with the greater number. The mixed fraction can be written as $2\dfrac{1}{2}$.