Simplify rational number in standard form Rational numbers

Simplify rational number in standard form

Rational numbers A rational number is a number that can be expressed in the form Numerator Denominator where p and q are integers and q ≠ 0. 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.

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

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

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

Example 2 : Reduce to it's standard form (-) X (-) = + Solution: Step 1: To make the given rational number in standard form, multiply both numerator & denominator by -1 Step 2: Divide both numerator and denominator by 2 Can be reduced further (+) ÷ (+) = + Step 3: Divide both numerator and denominator by 3 Step 4: Since Answer: Cannot be reduced further. So, is in the standard form Rule: Divide fraction using the numbers 2, 3, 5, 7, 11, 13, 17, 19

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

Try These 1 : Reduce to it's standard form 2 : Reduce to it's standard form 3 : Reduce to it's standard form