Question

How do you write $2\dfrac{1}{6}$ as a percent?

Answer 1

Hint: Fraction is a mathematical representation of a portion of a quantity. For example, the fraction ${a}/{b}\;$indicates a portion a out of a quantity b.
The percentage is also a mathematical representation of a ratio expressed as a fraction of 100. Therefore a fraction ${a}/{b}\;$ is written in percentage will be equal to $\dfrac{a}{b}\times 10\text{0 }\!\!%\!\!\text{ }$.

Complete Step by Step Solution:
The given fraction $2\dfrac{1}{6}$ is a mixed fraction. It contains an integer and a fraction, which means that it contains 2 whole portions and a fraction ${1}/{6}\;$.
$\Rightarrow 2\dfrac{1}{6}=2+\dfrac{1}{6}$
For the integers representing the whole portions, the percentage will be equal to 100. And for the fraction, the percentage will be equal to $\dfrac{a}{b}\times 10\text{0 }\!\!%\!\!\text{ }$. And so the percentage equivalence of $2\dfrac{1}{6}$ is
$\Rightarrow 2\times 100+\dfrac{1}{6}\times 100=200+\dfrac{100}{6}$
$\Rightarrow 200+16.67=216.1\text{6 }\!\!%\!\!\text{ }$

Therefore the fraction $2\dfrac{1}{6}$ can be written in percentage as $216.1\text{6 }\!\!%\!\!\text{ }$

Note:
The fraction whose numerator is greater than the denominator is known as an improper fraction. These improper fractions are sometimes written as mixed fractions to get an idea of how much whole quantity is present in it.
The given fraction can also be written as an improper fraction as shown below
$\Rightarrow 2\dfrac{1}{6}=2+\dfrac{1}{6}=\dfrac{13}{6}$.