Question

How do you simplify the fraction $ \dfrac{6}{20} $ .

Answer 1

Hint: In this problem, we need to simplify the given fraction. We know that a fraction contains a numerator as well as a denominator. So, we will write the numerator and denominator in the given fraction separately. Now we will write all the factors of both the numerator and denominator. Now we will write them in the given fraction and cancel the possible terms to simplify the given fraction.

Complete step by step answer:
Given fraction, $ \dfrac{6}{20} $ .
The numerator in the above-given fraction is $ 6 $.
The denominator in the above-given fraction is $ 20 $.
We know that the factors of the numerator $ 6 $ is $ 1 $ , $ 2 $ , $ 3 $ , $ 6 $ .
We know that the factors if the denominator $ 20 $ is $ 1 $ , $ 2 $ , $ 4 $ , $ 5 $ , $ 10 $ , $ 20 $ .
From the above values we can write the numerator $ 6 $ as $ 6=2\times 3 $ .
From the above values we can write the denominator $ 20 $ as $ 20=2\times 10 $ .
Substituting these values in the given fraction, then we will get
 $ \dfrac{6}{20}=\dfrac{2\times 3}{2\times 10} $
Cancelling the term $ 2 $ which is in both numerator and denominator, then we will get
 $ \Rightarrow \dfrac{6}{20}=\dfrac{3}{10} $
Hence the simplified form of the fraction $ \dfrac{6}{20} $ is $ \dfrac{3}{10} $ .

Note:
In the problem, they have only asked to simplify the fraction, so we have canceled the common terms in their factors. If they have asked to write the given fraction in the decimal part, then we need to simplify the fraction and divide the numerator with the denominator to get the decimal value. Here we have the simplified form of the fraction is $ \dfrac{3}{10} $ . On dividing the numerator $ 3 $ by the denominator $ 10 $ , then we will get $ 0.3 $ as a decimal value.