1. DIVIDE TWO RATIONAL NUMBERS

2. Rational numbers
A rational number is a number that can be expressed in the form
where p and q are integers and q ≠ 0.
Numerator
Denominator
For example are rational numbers
NOTE:
A rational number is said to be in standard form if its
denominator is positive and the numerator and
denominator have no common factor other than 1.
If a rational number is not in the standard form, then it can
be reduced to the standard form.

3. Recap of rules of Multiplication+ X = -
Recap of rules of Division + ÷ = -

4. Finding Reciprocal of a Fraction (Recap)
Example : The reciprocal of is ?
Solution :
Step 1 :
To find the reciprocal of a fraction Interchange the numerator
and denominator of the fraction
Ans: Reciprocal of is
Reciprocal

5. Multiply the 1st fraction and reciprocal of the 2nd fraction.
Example1: Divide
Solution:
To divide a fraction by a fraction ,multiply the 1st fraction with the reciprocal of
the 2nd fraction.
Step1:
Multiply the 1st fraction and
reciprocal of the 2nd fraction.
Step2 :
Simplify the fraction to
the lowest form,
Ans:
2nd fraction
1st fraction
Reciprocal
(-) x (+) = -
(+) x (+) = +
Multiply the numerators and
denominators of the fractions
Ex1 – Dividing Like fraction
Rule: To simplify keep dividing the numerator and denominator by 2,3,5,7,11,13 till they cannot be divided by common factor.
(not in lowest form)
(-) ÷ (+) = -
(+) ÷ (+) = +

6. Multiply the 1st fraction and reciprocal of the 2nd fraction.
Example2: Divide
Solution:
To divide a fraction by a fraction ,multiply the 1st fraction with the reciprocal of
the 2nd fraction.
Step1:
Multiply the 1st fraction and
reciprocal of the 2nd fraction.
Step2 :
Simplify the fraction to
the lowest form,
Ans:
2nd fraction
1st fraction
Reciprocal
(-) x (-) = +
(+) x (+) = +
Multiply the numerators and
denominators of the fractions
Ex1 – Dividing Like fraction
Rule: To simplify keep dividing the numerator and denominator by 2,3,5,7,11,13 till they cannot be divided by common factor.
(not in lowest form)
(+) ÷ (+) = +

7. Multiply the 1st fraction and reciprocal of the 2nd fraction.
Example3: Divide
Solution:
To divide a fraction by a fraction ,multiply the 1st fraction with the reciprocal of
the 2nd fraction.
Step1:
Multiply the 1st fraction and
reciprocal of the 2nd fraction.
Ans:
2nd fraction
1st fraction
Reciprocal
Multiply the numerators and
denominators of the fractions
Ex1 – Dividing Like fraction
(+) x (-) = -
Cannot be simplified further

8. Try These
1) Divide
2) Divide
3) Divide