How do you simplify the fraction $ \dfrac{6}{20} $ .
Answer
629.1k+ views
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.
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.
Recently Updated Pages
A Paragraph on Pollution in about 100-150 Words

What is BLO What is the full form of BLO class 8 social science CBSE

10 examples of friction in our daily life

Draw a diagram of nephron and explain its structur class 11 biology CBSE

Write structures of the following compounds i 2 Chloro3methylpentane class 11 chemistry CBSE

XIX+XXX A 49 B 51 C 55 D 44 class 5 maths CBSE

Trending doubts
Explain the Treaty of Vienna of 1815 class 10 social science CBSE

Which is the Lowest Point of Earth?

1 GB equals how many MB?

10 examples of evaporation in daily life with explanations

What is the full form of POSCO class 10 social science CBSE

Which is the hottest planet in the Solar system A Earth class 10 social science CBSE

