Answer
397.5k+ views
Hint: We will multiply \[2\] with \[6\], and then add it with \[5\] to get the final improper fraction. On doing some simplification we get the required answer.
Complete Step by Step Solution:
The given mixed fraction is: \[ - 2\dfrac{5}{6}\].
So, if we omit the negative sign, the fraction has a whole number \[2\] along with the proper fraction \[\dfrac{5}{6}\]
So, firstly we will multiply \[2\] and \[6\] to get the value of the fraction with the whole number part.
So, the multiplication of \[6\] and \[2\] is \[ = 2 \times 6 = 12.\]
Now, as it is a mixed fraction, we have to add this value with the numerator part of the proper fraction.
By doing it, we get:
\[ \Rightarrow 12 + 5 = 17.\]
So, the numerator of the required improper fraction will be \[ = 17.\]
Now, the denominator will remain the same as \[6\].
Therefore, the required improper fraction will be \[ - \dfrac{{17}}{6}\].
Additional Information: Four types of fractions do exist.
They are:
\[(1)\]Unit fractions: Fractions with numerator \[1\] are called unit fractions.
Example: \[\dfrac{1}{2}\].
\[(2)\]Proper fractions: Fractions in which the numerator is less than the denominator are called proper fractions.
Example: \[\dfrac{2}{3}\].
\[(3)\]Improper fractions: Fractions in which the numerator is greater than or equal to the denominator are called improper fractions.
Example: \[\dfrac{4}{3}\].
\[(4)\]Mixed fractions: Fractions consist of a whole number along with a proper fraction.
Example: \[3\dfrac{2}{3}\].
If a mixed fraction is given in the following way:\[a\dfrac{b}{c}\].
Then we can convert it into an improper fraction by using the following method: \[\dfrac{{a \times c + b}}{c}\].
Note: Numerator part of the fraction states how much part it contains over the denominator part of the fraction.
Only mixed fractions can be converted into the improper fraction.
Alternative way to solution:
The given fraction is \[ - 2\dfrac{5}{6}\].
Now, we can write it as following way:
\[ \Rightarrow - \left( {2 + \dfrac{5}{6}} \right)\].
By doing multiplication, we get:
\[ \Rightarrow - \left( {\dfrac{{2 \times 6}}{6} + \dfrac{5}{6}} \right)\].
Now, by doing further simplification:
\[ \Rightarrow - \left( {\dfrac{{12}}{6} + \dfrac{5}{6}} \right)\].
Now, by solving it, we get:
\[ \Rightarrow - \left( {\dfrac{{12 + 5}}{6}} \right)\].
So, the required improper fraction is \[ - \dfrac{{17}}{6}\].
Complete Step by Step Solution:
The given mixed fraction is: \[ - 2\dfrac{5}{6}\].
So, if we omit the negative sign, the fraction has a whole number \[2\] along with the proper fraction \[\dfrac{5}{6}\]
So, firstly we will multiply \[2\] and \[6\] to get the value of the fraction with the whole number part.
So, the multiplication of \[6\] and \[2\] is \[ = 2 \times 6 = 12.\]
Now, as it is a mixed fraction, we have to add this value with the numerator part of the proper fraction.
By doing it, we get:
\[ \Rightarrow 12 + 5 = 17.\]
So, the numerator of the required improper fraction will be \[ = 17.\]
Now, the denominator will remain the same as \[6\].
Therefore, the required improper fraction will be \[ - \dfrac{{17}}{6}\].
Additional Information: Four types of fractions do exist.
They are:
\[(1)\]Unit fractions: Fractions with numerator \[1\] are called unit fractions.
Example: \[\dfrac{1}{2}\].
\[(2)\]Proper fractions: Fractions in which the numerator is less than the denominator are called proper fractions.
Example: \[\dfrac{2}{3}\].
\[(3)\]Improper fractions: Fractions in which the numerator is greater than or equal to the denominator are called improper fractions.
Example: \[\dfrac{4}{3}\].
\[(4)\]Mixed fractions: Fractions consist of a whole number along with a proper fraction.
Example: \[3\dfrac{2}{3}\].
If a mixed fraction is given in the following way:\[a\dfrac{b}{c}\].
Then we can convert it into an improper fraction by using the following method: \[\dfrac{{a \times c + b}}{c}\].
Note: Numerator part of the fraction states how much part it contains over the denominator part of the fraction.
Only mixed fractions can be converted into the improper fraction.
Alternative way to solution:
The given fraction is \[ - 2\dfrac{5}{6}\].
Now, we can write it as following way:
\[ \Rightarrow - \left( {2 + \dfrac{5}{6}} \right)\].
By doing multiplication, we get:
\[ \Rightarrow - \left( {\dfrac{{2 \times 6}}{6} + \dfrac{5}{6}} \right)\].
Now, by doing further simplification:
\[ \Rightarrow - \left( {\dfrac{{12}}{6} + \dfrac{5}{6}} \right)\].
Now, by solving it, we get:
\[ \Rightarrow - \left( {\dfrac{{12 + 5}}{6}} \right)\].
So, the required improper fraction is \[ - \dfrac{{17}}{6}\].
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)