Answer
397.5k+ views
Hint: The given fraction in the question is proper fraction, to simplify a fraction divide the top and bottom i.e., numerator and denominator of the given fraction by the highest common factor. This means look for the biggest number then divide into both, if gives the simplest form of the fraction.
Complete step-by-step solution:
The given question in the form of \[\dfrac{a}{b}\] where, a is the numerator and b is the denominator this form is known as fraction, there are mainly two types of fraction namely
i) Proper fraction: If the numerator is smaller than the denominator is known as proper fraction.
ii) Improper fraction: If the numerator is greater than or equal to the denominator of a fraction, then it is called an improper fraction. In that case, you could convert it into a whole number or mixed number fraction
iii) Simplification of fraction: To simplify a fraction we divide both the numerator and denominator by the same number. A common factor is a number that divides both the numerator and denominator without leaving any remainders. We divide the fractions till we get 1 as the common factor for both the numerator and denominator.
The given fraction \[\dfrac{{10}}{{25}}\] is the proper fraction, where 10 is numerator and 25 is denominator
First, we find the factors of both numerator and denominator
Factors of 10 is 1, 2, 5 and 10
Factors of 25 is 1 and 5
The highest common factor HCF of 10 and 25 is 5
So, we divide the both numerator and denominator of the fraction by 5
Consider \[ \Rightarrow \,\,\dfrac{{10}}{{25}}\]
Divide the both numerator and denominator by 5,we get
\[ \Rightarrow \,\,\dfrac{2}{5}\]
Hence, the simplest form of given fraction \[\dfrac{{10}}{{25}}\] is \[\,\dfrac{2}{5}\]
Note: Candidate must know the table of multiplication to solve or simplify. To simplify the given we divide both numerator and denominator by a number which is a factor of both numerator and denominator. To find the common number we use the concept of HCF and we determine the solution.
Complete step-by-step solution:
The given question in the form of \[\dfrac{a}{b}\] where, a is the numerator and b is the denominator this form is known as fraction, there are mainly two types of fraction namely
i) Proper fraction: If the numerator is smaller than the denominator is known as proper fraction.
ii) Improper fraction: If the numerator is greater than or equal to the denominator of a fraction, then it is called an improper fraction. In that case, you could convert it into a whole number or mixed number fraction
iii) Simplification of fraction: To simplify a fraction we divide both the numerator and denominator by the same number. A common factor is a number that divides both the numerator and denominator without leaving any remainders. We divide the fractions till we get 1 as the common factor for both the numerator and denominator.
The given fraction \[\dfrac{{10}}{{25}}\] is the proper fraction, where 10 is numerator and 25 is denominator
First, we find the factors of both numerator and denominator
Factors of 10 is 1, 2, 5 and 10
Factors of 25 is 1 and 5
The highest common factor HCF of 10 and 25 is 5
So, we divide the both numerator and denominator of the fraction by 5
Consider \[ \Rightarrow \,\,\dfrac{{10}}{{25}}\]
Divide the both numerator and denominator by 5,we get
\[ \Rightarrow \,\,\dfrac{2}{5}\]
Hence, the simplest form of given fraction \[\dfrac{{10}}{{25}}\] is \[\,\dfrac{2}{5}\]
Note: Candidate must know the table of multiplication to solve or simplify. To simplify the given we divide both numerator and denominator by a number which is a factor of both numerator and denominator. To find the common number we use the concept of HCF and we determine the solution.
Recently Updated Pages
Mark and label the given geoinformation on the outline class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
When people say No pun intended what does that mea class 8 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Name the states which share their boundary with Indias class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give an account of the Northern Plains of India class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Advantages and disadvantages of science
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Bimbisara was the founder of dynasty A Nanda B Haryanka class 6 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
10 examples of evaporation in daily life with explanations
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
How do you graph the function fx 4x class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)