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Simplify rational number in standard form

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Presentation on theme: "Simplify rational number in standard form"— Presentation transcript:

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


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