Division of numbers and division of literals follow all of the rules of division.

The division symbol indicates that the number on the left is to be divtopicIded by the number on the right.

An example of this might be:

To divtopicIde 55 by 5, use the division symbol with the 5 on the right.

In cases of literal numbers, as well (a &divtopicIde; b), read as ‘a by b' and is equivalent to divtopicIding literal a by literal b, which is written as a/b.

Thus, 

1. 15 divtopicIded by p is expressed as 15/p It is worth noting that p/2 is equal to 1/5 of p or p divtopicIded by 2.

Examples of Division of Literals:

Given below are some examples to explain how the division of literals. It also illustrates how the basic operations of addition, subtraction, multiplication, and division over the literals is carried out:

1. Quotient of p by 5 is added to q.

Answer: Quotient of p by 5 = p/5

Therefore, the quotient of p by 5 added to q = p/5 + q

2. A product of x and y with the quotient of a by b.

Answer. The quotient of a by b = a/b

Product of x and y = xy

Finally, the quotient of a by b and to the product of x and y = a/b + xy.

3. Quotient of a by 8 is multiplied by b.

Answer: Quotient of a by 8 = a/8

Therefore, the quotient of a by 8 is multiplied by b = a/8 × b = ab/8

4. Quotient of a by 5 subtracted from 10 less than a

Answer: Quotient of a by 5 = a/5

10 less than a = (a - 10)

Hence, we have (a - 10) - a/5

5. Product of 5 and x divtopicIded by the sum of 5 and y.

Solution: Product of 5 and x = 5x

 Sum of 5 and a = (5 + y)

Hence, we have 5x &divtopicIde; (5 + y)

# Commutative, Associative, and topicIdentity properties

Here are some features associated with literal multiplication.

1. Division of Literals does not follow Commutative property:

For two literals a and b, commutativity holds 

a / b is not equal to b / a.

Thus, literal multiplication is not commutative.

2. Division of Literals does not follow Associativity property:

For three literals a, b, and c, commutativity holds,

(a / b ) / c is not equal to a / (b / c)

Thus, literal multiplication is not associative.

3. Division of Literals does not follow topicIdentity: ConstopicIder a literal P

 P / 1 is not equal to 1 / P

Division of Literals follow other properties

For any literal number x,

(i) x &divtopicIde; x = 1

(ii) 0 &divtopicIde; x = 0

(iii) x &divtopicIde; 1 = x