1. Simplify rational number in standard form

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. Simplifying fractions - Recap
We can Simplify a fraction by dividing the numerator and
denominator of the fraction by the same number
RULE :
Try Dividing the fractions by the numbers given below to simplify it
2,3,5,7,11,13,17,19
We continue dividing the numerator and denominator till they
cannot be further divisible by common factor.
Note:- Use Divisibility rule to find if number is divisible or not by a
given number

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

5. Rule: Divide fraction using the numbers
Example 1 : Reduce to it's standard form
Solution:
Step1: Divide both numerator and denominator by 2
Step2: Since
Cannot be reduced further. So
is in the standard form
(-) ÷ (+) = -
(+) ÷ (+) = +
Answer:
Rule: Divide fraction using the numbers
2,3,5,7,11,13,17,19

6. Rule: Divide fraction using the numbers
Example 2 : Reduce to it's standard form
(-) X (-) = +
Solution:
Step1: To make the given rational number in
standard form, multiply both numerator &
denominator by -1
Step2: Divide both numerator and denominator by 2
Can be reduced further
(+) ÷ (+) = +
Step3: Divide both numerator and denominator by 3
Step4: Since
Cannot be reduced further. So,
is in the standard form
Rule: Divide fraction using the numbers
2,3,5,7,11,13,17,19
Answer:

7. Rule: Divide fraction using the numbers
Example 3 : Reduce to it's standard form
(+) x (-) = -
(-) x (-) = +
Solution:
Step1: To make the given rational number in
standard form, multiply both numerator &
denominator by -1
Step2: Divide both numerator and denominator by 2
(-) ÷ (+) = -
(+) ÷ (+) = +
Step3: Since
Cannot be reduced further. So
is in the standard form
Rule: Divide fraction using the numbers
2,3,5,7,11,13,17,19
Answer:

8. Try These 1 : Reduce to it's standard form