Question

How do you convert \[3\dfrac{1}{2}\] into a decimal and percent?

Answer 1

Hint: In the above question we are given a mixed fractional number that is \[3\dfrac{1}{2}\] and we are asked to convert it into the decimal and percent. For solving such kind of the questions one should firstly know about the conversion of the mixed fraction into the simple one and also the decimal representation or the decimal numbers that can be defined as the form of the number in which it contains a whole number and the decimal part after the dot or point which is known as decimal point. Now the percentage is the number or ratio expressed as a fraction of \[100\].

Complete step-by-step answer:
Here in this question we are given a mixed fraction that is \[3\dfrac{1}{2}\] and we are asked to the following into decimal and percent for converting the given fraction into decimal that is can be defined as the form of the number in which it contains a whole number and the decimal part after the dot or point which is known as decimal point. Also the term after the decimal point can be repeating or non-repeating. For this we need to divide the given numerator by the denominator that is in this case the given mixed fraction is \[3\dfrac{1}{2}\] here we would first convert it into a simple fraction that is by multiplying the whole number and the denominator and then adding the numerator to the resultant product that is here we would multiply \[3\] and \[2\]then adding the numerator\[1\] to the product of the both that comes out to be as follows –
\[\dfrac{7}{2}\]
Now we have got the simple fraction then we would fetch the decimal by dividing the numerator by the denominator which is in this case dividing the numerator \[7\] by the denominator \[2\]
\[\dfrac{7}{2} = 3.5\]
So \[3.5\] is the decimal of the given mixed fraction\[3\dfrac{1}{2}\]
Now for the percent (which can be defined as number or ratio expressed as a fraction of\[100\].) That is done by multiplying the decimal of the fraction by \[100\] that is –
\[3.5{\rm x}100 = 350\% \]
So the resultant percent of the fraction\[3\dfrac{1}{2}\] is \[350\% \].

Note: The calculations here are needed to be done with concentration starting from getting the simple fraction to the fetching of the decimal as the whole question depends on the precision of the answer. Also one thing here a person should keep in its mind the method of getting the percentage directly from the fraction that is done by multiplying the denominator of the fraction by a such number that will make it hundred and multiplying the similar number to the numerator by the similar number that is multiplied by the denominator.