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
-
Multiplying 3-Digit Number by 1-Digit Number | Three-Digit Multiplicat
Oct 22, 24 03:26 PM
Here we will learn multiplying 3-digit number by 1-digit number. In two different ways we will learn to multiply a two-digit number by a one-digit number. 1. Multiply 201 by 3 Step I: Arrange the numb… -
Word Problems on Multiplication |Multiplication Word Problem Worksheet
Oct 22, 24 01:23 AM
Word problems on multiplication for fourth grade students are solved here step by step. Problem Sums Involving Multiplication: 1. 24 folders each has 56 sheets of paper inside them. How many sheets of… -
Worksheet on Word Problems on Multiplication | Multiplication Problems
Oct 22, 24 12:31 AM
In worksheet on word problems on multiplication, all grade students can practice the questions on word problems involving multiplication. This exercise sheet on word problems on multiplication -
Multiplying 2-Digit Number by 1-Digit Number | Multiply Two-Digit Numb
Oct 21, 24 03:38 PM
Here we will learn multiplying 2-digit number by 1-digit number. In two different ways we will learn to multiply a two-digit number by a one-digit number. Examples of multiplying 2-digit number by -
Multiplication Table of 4 |Read and Write the Table of 4|4 Times Table
Oct 21, 24 02:26 AM
Repeated addition by 4’s means the multiplication table of 4. (i) When 5 candle-stands having four candles each. By repeated addition we can show 4 + 4 + 4 + 4 + 4 = 20 Then, four 5 times
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.