Answer
384.6k+ views
Hint: Here in this question, we have to convert the mixed fraction into the improper fraction. By using the addition and multiplication which are arithmetic operations we simplify the given number. Hence we obtain the required result for the given question
Complete step-by-step solution:
The question is based on the fractions. As we know that the fractions are of 3 kinds, Proper fraction, Improper fraction and Mixed fraction.If the value of numerator is less than the value of denominator in the fraction then it is Proper fraction. If the value of the numerator is more than the value of the denominator in the fraction then it is Improper fraction. The whole and fraction is combined together then it is mixed fraction.
Now consider the given fraction \[3\dfrac{2}{5}\]
To convert the fraction we multiply the number which is in the denominator to the whole number. So on multiplying 3 and 5 we get 15. To this number add the number 2. On adding the 15 and 2 we get 17. The number 17 is placed in the numerator in the fraction we have
\[ \Rightarrow \dfrac{{17}}{5}\]
Hence we have simplified the given mixed fraction. In the resultant fraction the value of the numerator is greater than the value of the denominator. By the definition of an improper fraction, we can say that the resultant fraction is improper fraction.
Hence it is in the form of improper fraction.
Note: The improper fraction can be converted to the mixed fraction. the proper fraction cannot be converted into the mixed fraction. where in the improper fraction the numerator value is greater than the value of the denominator. So we can apply the division arithmetic operation but it is impossible to the proper fraction.
Complete step-by-step solution:
The question is based on the fractions. As we know that the fractions are of 3 kinds, Proper fraction, Improper fraction and Mixed fraction.If the value of numerator is less than the value of denominator in the fraction then it is Proper fraction. If the value of the numerator is more than the value of the denominator in the fraction then it is Improper fraction. The whole and fraction is combined together then it is mixed fraction.
Now consider the given fraction \[3\dfrac{2}{5}\]
To convert the fraction we multiply the number which is in the denominator to the whole number. So on multiplying 3 and 5 we get 15. To this number add the number 2. On adding the 15 and 2 we get 17. The number 17 is placed in the numerator in the fraction we have
\[ \Rightarrow \dfrac{{17}}{5}\]
Hence we have simplified the given mixed fraction. In the resultant fraction the value of the numerator is greater than the value of the denominator. By the definition of an improper fraction, we can say that the resultant fraction is improper fraction.
Hence it is in the form of improper fraction.
Note: The improper fraction can be converted to the mixed fraction. the proper fraction cannot be converted into the mixed fraction. where in the improper fraction the numerator value is greater than the value of the denominator. So we can apply the division arithmetic operation but it is impossible to the proper fraction.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Why Are Noble Gases NonReactive class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let X and Y be the sets of all positive divisors of class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
At which age domestication of animals started A Neolithic class 11 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)
Give 10 examples for herbs , shrubs , climbers , creepers
![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)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Write a letter to the principal requesting him to grant class 10 english 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)
Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)