The fractions $\frac{35}{9}$ and $\frac{53}{9}$ are like fractions, as they have same denominator. 
To subtract like fractions, we have to subtract only the numerators and keep the denominator same.
$\frac{53}{9}-\frac{35}{9}=\frac{53-35}{9}=\frac{18}{9}=2$

A proper fraction is a fraction in which the numerator is less than the denominator.
In 2, the numerator (3) is lesser than the denominator (7).
In 4, the numerator (114) is lesser than the denominator (788).
In 5, the numerator (14) is lesser than the denominator (100).
Only 2, 4 and 5 satisfy this condition.
Hence, 2,4 and 5 are proper fractions.

Equivalent fractions are defined as the fractions that represent the same part of whole.

Only improper fractions can be expressed as mixed fractions.

Between 2 and 3, the line is divided into 7 parts.
We know,  $2=\frac{14}{7}$ and $3=\frac{21}{7}.$
Thus, the divisions between 2 and 3 marked in the figure correspond to the fractions $\frac{15}{7},\frac{16}{7},\frac{17}{7},\frac{18}{7},\frac{19}{7}$ and $\frac{20}{7}.$

$\therefore$ The point A corresponds to the fraction $\frac{18}{7}.$

No. of  slices which Anu can eat = $\frac{2}{6}\times 6$ =2 slices

Given that P = $\frac{7}{8}$  and Q = $\frac{8}{7}$
Let a = 7 ; b = 8; c = 8 and d = 7
We have $a\times d=7\times 7=49$
               $b\times c=8\times 8=64$
Since $a\times d<b\times c$ we have 
Q > P 

The fractions which have same denominators are known as like fractions. Otherwise, they are known as unlike fractions 

Let us first convert the mixed fraction $13\frac{5}{3}$  to improper fraction.
i.e.,  $13\frac{5}{3}=\frac{13\times 3+5}{3}=\frac{44}{3}$
Now,  $\frac{41}{4}+13\frac{5}{3}=\frac{41}{4}+\frac{44}{3}=\frac{41\times 3}{4\times 3}+\frac{44\times 4}{3\times 4}=\frac{123+176}{12}=\frac{299}{12}=24\frac{11}{12}$

This is the example of proper fraction.
The number above the line in a proper/improper fraction is called the numerator and the number below the line is called the denominator.
Hence, here the numerator 2 is and the denominator is 7.