Mixed fractions are a fraction that represents their quotient and remainder. It is a type of fraction in which the whole number part and fractional part is present.
At first, we have to find the common denominator LCD [tex]=11*5=55[/tex];
Now, [tex]\frac{36}{11}=\frac{180}{55}[/tex] and [tex]\frac{17}{5}=\frac{187}{55}[/tex]
So, from above we get;
[tex]\frac{181}{55} , \frac{182}{55},\frac{183}{55}, \frac{184}{55} ,\frac{185}{55} ,\frac{186}{55}[/tex] as mixed fractions between given mixed fractions.
Again, we will multiply both denominator and numerator by 2, and we get;
[tex]\frac{180}{55}=\frac{360}{110}[/tex] and [tex]\frac{187}{55} =\frac{374}{110}[/tex]
So, repeating the same step, we get;
[tex]\frac{361}{110},\frac{362}{110} ,\frac{363}{110} ,\frac{364}{110} ,\frac{365}{110},\frac{366}{110} ,\frac{367}{110} ,\frac{368}{110},\frac{369}{110} ,\frac{370}{110} ,\frac{371}{110} ,\frac{372}{110} ,\frac{373}{110}[/tex] are mixed fractions
between given mixed fractions.
What is a mixed fraction?
A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction
What is improper and mixed fractions?
A mixed fraction is one whose value is always greater than 1 and it has a whole number part and a proper fraction. For example, 325 3 2 5 is a mixed number. An improper fraction is one in which the numerator is always greater than or equal to the denominator.
To learn more about mixed fractions, refer to:
https://brainly.com/question/700977
#SPJ2
