Question

How do you simplify the fraction $\dfrac{2}{10}$?

Answer 1

Hint: As we know that simplifying a fraction means to reduce it into the smallest form. To simplify the given fraction first we will factorize both 2 and 10. Then cancel out the common factors from numerator and denominator to get the desired answer.

Complete step-by-step solution:
We have been given a fraction $\dfrac{2}{10}$.
We have to simplify the given fraction.
We know that a fraction is formed up of two parts one is a numerator and the other is a denominator, both are separated by a horizontal bar.
Here in the given fraction 2 is numerator and 10 is denominator of the fraction.
Now, to solve the given fraction first we will factorize both 2 and 10. Then we will get
$\begin{align}
  & \Rightarrow 2=2\times 1 \\
 & \Rightarrow 10=5\times 2 \\
\end{align}$
Now, substituting the values we will get
$\Rightarrow \dfrac{2\times 1}{5\times 2}$
Now, 2 is the common factor so cancel out the common factor we will get
$\Rightarrow \dfrac{1}{5}$
Which is further not divided by any common number.
So we get the simplest form of fraction $\dfrac{2}{10}$ as $\dfrac{1}{5}$ .

Note: We can also simplify a fraction by dividing the numerator and denominator by the same number. A fraction is said to be in its simplest form when the numerator and denominator are not divisible further by the same number. Alternatively we can directly divide 2 by 10 to simplify the above fraction and get the answer in decimals or simplify the obtained fraction further.