DIVIDE TWO RATIONAL NUMBERS

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.

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

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

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) (-) ÷ (+) = - (+) ÷ (+) = +

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) (+) ÷ (+) = +

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

Try These 1) Divide 2) Divide 3) Divide