In conversion of a fraction into its smallest and simplest form are discussed here.
If the numerator and denominator of a fraction have no common factors
then the fraction is considered as its smallest and simplest form, as 3/5, 2/3, 4/7, 7/11, etc., are the simplest forms of 6/10, 8/12, 20/35, 21/33 respectively.
Examples on conversion of a fraction into its smallest and simplest form:
1. Change 45/60 to its simplest form.
Solution:
All the factors of numerator and denominator are written;
45 = 3 x 3 x 5 and 60 = 3 x 2 x 2 x 5 (common factors are removed)
= 3/4
Thus, to get the simplest form of a fraction, the common factors of numerator and denominator are removed.
2. Change 15/75 to its simplest form.
Solution:
All the factors of numerator and denominator are written
15 = 3 x 5 and 75 = 3 x 5 x 5 (common factors are removed)
= 1/5
Thus, to get the simplest form of a fraction, the common factors of numerator and denominator are removed.
Reducing Fraction to the Lowest Term:
You have learnt to find equivalent fractions by multiplying and diving.
Now let us try to reduce fractions to the lowest term.


Equivalent fraction in the lowest term.
2. Sometimes we need to divide more than once.


So, 16/24 = 2/3
Therefore, 2/3 is the lowest term


We have divided by the highest common factor
Note:
When the numerator and the denominator of the fraction cannot be
divided by a factor greater than 1, the fraction is in its lowest term.
For example, 3/4, 2/3, 1/2
Related Concept
● Representation of a Fraction
● Properties of Equivalent Fractions
● Comparison of Like Fractions
● Comparison of Fractions having the same Numerator
● Conversion of Fractions into Fractions having Same Denominator
● Conversion of a Fraction into its Smallest and Simplest Form
● Addition of Fractions having the Same Denominator
● Subtraction of Fractions having the Same Denominator
● Addition and Subtraction of Fractions on the Fraction Number Line
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