Question

How do you convert \[3\dfrac{1}{8}\] into fractions and percentage ?

Answer 1

Hint: First convert the mixed fraction into improper or proper fraction depend on the fraction that is \[a\dfrac{b}{c}=\dfrac{\left( a\times c \right)+b}{c}\]. Then to convert into percentage we just need to multiply the fraction by \[100\]

Complete step-by-step answer:
Now converting the given mixed fraction into proper or improper fraction:
On comparing with this by the above formula
\[a=3,b=1,c=8\]
Now applying it
\[\Rightarrow \dfrac{(8.3)+1}{8}\]
\[\Rightarrow \dfrac{25}{8}\]
Thus the fraction value is \[\dfrac{25}{8}\] and it is an improper fraction as it’s numerator is greater than it’s denominator.
Now converting it into percentage multiply it with \[100\]
\[\Rightarrow \dfrac{25}{8}\times 100\]
\[\Rightarrow 312.5%\]

Note: In this type of questions convert the mixed fraction into improper or proper fraction then either write in decimal form, as both the fraction and decimal form have the same value only the format of writing is different. Now to convert the fraction or decimal to percentage multiply it with \[100\].