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Home >> Fractions >> Lowest Form of Fraction >>

## 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

Explanation
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 :-
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 45/18 into Simplest form.
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;
= (45 ÷ 9) / (18 ÷ 9)
Solve brackets and we get;
Simplest Form of 45/18 = 5/3

Example 2 = Convert 80/90 into Lowest form.
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;
= (80 ÷ 10) / (90 ÷ 10)
Solve brackets and we get;
Simplest Form of 80/90 = 8/9