Lowest Form of Fraction / Simplest Form of Fraction

Types of Fractions	Lowest Form of Fraction	Conversion of Fraction	Addition of Fractions	Subtraction of Fractions
Multiplication of Fractions	Properties of Division	Division of Fraction	Comparision of Fraction	Reciprocal of a Fraction
Fraction in diagrammatic form	Difference & Similarity between Fraction and Rational Numbers

Before you study how to get lowest form of fraction, you are advised to read How to find HCF ? A Fraction is in Lowest Form, when its numerator and denominator have only 1 as its common factor. In other words, a fraction is said to be in lowest form, if its numerator and denominator have no common factor except 1. Conversion of Fraction in Lowest Form or To Find Simplest Form of Fraction, follow the below steps - Step 1 : Find HCF of numerator and denominator of given fraction. Step 2 : Divide both numerator and denominator by HCF (of step 1). Following are some examples showing conversion of fraction into lowest form :- Example 1 = Convert the following fraction into Simplest form. 45 18 Answer = The conversion proceeds as :- Find HCF of numerator and denominator of given fraction. HCF of 45 and 18 = 9 Now, Divide both numerator and denominator by HCF and we get the simplest form of fraction (45 ÷ 9) (18 ÷ 9) = 5 2 Example 2 = Convert the following fraction into lowest form. 80 90 Answer = The conversion proceeds as :- Find HCF of numerator and denominator of given fraction. HCF of 80 and 90 = 10 Now, Divide both numerator and denominator by HCF and we get the simplest form of fraction (80 ÷ 10) (90 ÷ 10) = 8 9