Table of Contents
Fractions represent a part of the whole. It represents the number of parts of a certain number, size, or collection compared to the total number of equal parts.
A number is written in the fractional form as
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If a pizza is cut into ten equal slices and one slice of the pizza is placed on a dish, then each dish is said to have
Here are some more real-life examples involving fractions:
A fraction consists of two main parts: a numerator and a denominator, separated by a horizontal bar known as the fraction bar.
The numerator is the top number above the fraction bar, indicating how many parts we have.
The denominator is the number below the fraction bar, which shows how many equal parts the whole is divided into.
The diagram below shows the different parts of the fraction
A fraction can be represented in three ways: a fraction, a percentage, or a decimal.
It is the most common form of representing fractions. A fraction in fractional form is denoted in
Example
In this form, the fraction is represented as a decimal number.
Example
The fraction
The fraction can also be represented as a percentage by multiplying the fraction by 100.
Example
The fraction
Thus,
Fractions can be classified into several types:
A number line is a useful tool for visualizing fractions. Let us express
Here is the number line.
Here is a printable chart for visualizing equivalent fractions.
Here are some properties used to simplify problems involving fractions.
Simplifying a fraction means to reduce the fraction to its simplest form. To simplify, we divide the numerator and denominator by the greatest common factor (GCF).
Let us simplify
The GCF of 20 and 30 is 10
Now, by dividing the numerator and denominator by 10, we get
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To add or subtract fractions with the same denominator, we follow the following steps:
Let us add
Step 1: Adding/subtracting the numerators together
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Step 2: Simplifying
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Now, if we subtract the fraction
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We follow the given steps to add or subtract fractions with different denominators.
Let us add
Step 1: Finding the LCM of the denominators
Here, the denominators are 2 and 4
The LCM of 2 and 4 is 4
Step 2: Rationalizing the denominators
Now, for rationalizing, we will multiply the first fraction by 2 and the second fraction by 1
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Step 3: Adding the numerators together
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Step 4: Simplifying
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While multiplying fractions, we multiply all the numerators and all the denominators together.
On multiplying
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For example,
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While dividing the fractions, we multiply the first fraction by the reciprocal of the second fraction.
For example,
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Here is a summary of the rules we follow for simplifying fractions.
From the given fractions, determine the proper and improper fractions.
Here,
The proper fractions are
The improper fractions are
In a class of 60 students,
Here, the total number of students is 60
As we know,
The number of students who went on a family trip is
Thus, the number of students who went on a trip
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Last modified on October 29th, 2024