Conversion of a Fraction into its Smallest and Simplest Form
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
From Conversion of a Fraction into its Smallest and Simplest Form to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
Recent Articles
-
Patterns in Numbers | Patterns in Maths |Math Patterns|Series Patterns
Dec 13, 24 08:43 AM
We see so many patterns around us in our daily life. We know that a pattern is an arrangement of objects, colors, or numbers placed in a certain order. Some patterns neither grow nor reduce but only r… -
Patterns in Math | Missing Number | Counting Numbers | Worksheets
Dec 13, 24 12:31 AM
Finding patterns in math is very important to understand the sequence in the series. We need to find the exact missing number that from the group of numbers. The counting numbers may be counting -
Concept of Pattern | Similar Patterns in Mathematics | Similar Pattern
Dec 12, 24 11:22 PM
Concept of pattern will help us to learn the basic number patterns and table patterns. Animals such as all cows, all lions, all dogs and all other animals have dissimilar features. All mangoes have si… -
2nd Grade Geometry Worksheet | Plane and Solid Shapes | Point | Line
Dec 12, 24 10:31 PM
2nd grade geometry worksheet -
Types of Lines |Straight Lines|Curved Lines|Horizontal Lines| Vertical
Dec 09, 24 10:39 PM
What are the different types of lines? There are two different kinds of lines. (i) Straight line and (ii) Curved line. There are three different types of straight lines. (i) Horizontal lines, (ii) Ver…
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.