Improper Fractions and Mixed Fractions

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Lesson Objective
In this lesson, we will learn about improper fractions and mixed fractions. Also, we will see how we can convert from improper to mixed fraction and vice versa.
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About This Lesson
In understanding fractions, we had seen some ideas behind improper fractions and mixed fractions.

This lesson will explain these two types of fractions in detail and show how they are related.

Next, we will learn a method to quickly convert between these two types of fractions.

You can proceed by reading the study tips first or watch the math video or try out the practice questions.
improper and mixed fractions

Study Tips

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Tip #1 - Understand the difference
An improper fraction can be converted into a mixed fraction. Note that, these two fractions are equivalent. The only difference is at the way they are written. See the picture below:
difference betweeen improper and mixed fractions

The math video below will explain more about it.
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Tip #2 - Improper to Mixed Fractions
To quickly convert an improper fraction to a mixed fraction, we can use the 'long division' method.  The picture below shows an example on converting 11/5.
converting improper to mixed fractions

The math video below and the practice questions will explain this in detail.
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Tip #3 - Mixed to Improper Fractions
To quickly convert a mixed fraction to an improper fraction, we use the steps shown in the picture below.

Below is an example on converting 2 1/5.
converting mixed to improper fractions

The math video below and the practice questions will explain this in detail.

Math Video

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Lesson Video
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Math Video Transcript

Practice Questions & More

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Multiple Choice Questions (MCQ)
Now, let's try some MCQ questions to understand this lesson better.

You can start by going through the series of questions on improper fractions and mixed fractions or pick your choice of question below.
  1. Question 1 on converting improper to mixed fractions
  2. Question 2 on converting mixed to improper fractions
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