Question

How do you convert $\dfrac{7}{25}$ to percent ?

Answer 1

Hint:The given fraction is proper because the denominator of the fraction is greater than the numerator.
The fraction always has two-part on the top of the fraction is called the numerator and the bottom of the fraction is called the denominator.
In a given fraction the numerator is $7$ and the denominator is $25$.
To change the fraction into percent value multiply it by $100$ and divide by $100$.
A percent is one-hundredth ${{\left( \dfrac{1}{100} \right)}^{th}}$ term of the number.

Complete step by step solution:
The given fraction is $\dfrac{7}{25}$.
To convert $\dfrac{7}{25}$ in percent we need to change it into the decimal value of this fraction.
The decimal value of the fraction \[\dfrac{7}{25}\] is
$\Rightarrow 25\overset{0.28}{\overline{\left){\begin{align}
  & 70 \\
 & \underline{50} \\
 & 200 \\
 & \underline{200} \\
 & 000 \\
\end{align}}\right.}}$
$\Rightarrow \dfrac{7}{25}=0.28$
To write this decimal value $0.28$in percent then multiply it by $100$ and divide by $100$.
$\Rightarrow 0.28\times \dfrac{100}{100}$
$\Rightarrow 28\times \dfrac{1}{100}$
In denominator $100$ represents the $%$.
$\Rightarrow 28%$.

Hence, the percent value of the fraction \[\dfrac{7}{25}\] is $28%$.

Note: There are three types of the fraction
The first one is Proper Fraction:- A fraction in which the denominator of the fraction is greater than the numerator of that fraction, for example, :\[\dfrac{1}{3},\dfrac{2}{9},...\]
The second one is Mixed Fraction:- A fraction which is combined with a whole number is called a mixed fraction for example:$1\dfrac{1}{2},3\dfrac{4}{5},7\dfrac{11}{67},....$
And the third one is Improper Fraction:- A fraction in which the numerator of the fraction is greater than the denominator of that fraction for example:$\dfrac{3}{2},\dfrac{113}{100},\dfrac{23}{11},\dfrac{13}{11},....$.