Improper Fractions and Mixed Fractions
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.
About This Lesson
, we had seen some ideas behind improper fractions and mixed fractions.
So now, for this lesson, we will first revisit the explanation for these two types of fractions and understand how they are related.
Next, we will learn the method to quickly convert between improper and mixed fraction.
You can proceed by reading the
first or watch the
or try out the
Tip #1 - Understand the difference
Improper fraction and mixed fraction are equivalent. The only difference is that they are written differently (see picture below). Therefore, it is important understand the difference between them.
math video below
will explain more about it.
Tip #2 - Improper to Mixed Fractions
To quickly convert from improper to mixed fraction, we use the 'long division' method. The picture below shows an example on converting
below and the
will explain this in detail.
Tip #3 - Mixed to Improper Fractions
To quickly convert from mixed to improper fraction, we use the steps shown in the picture below.
Below is an example on converting
below and the
will explain this in detail.
Math Video Transcript
00:00:02.230 In this lesson, we will learn about improper fractions, and mixed fractions. 00:00:08.150 Also, we will see how we can convert improper to mixed fraction, and vice versa. 00:00:17.080 Consider this fraction, 3 over 5. 00:00:21.240 Now, we can visually represent this fraction, with this long piece of bar. 00:00:28.030 Since the denominator is 5, we can divide this bar into 5 equal parts. 00:00:34.100 Next, with the numerator as 3, 3 out of 5 parts can be colored green. 00:00:40.080 Now, since the numerator is smaller than the denominator, this fraction is a proper fraction. 00:00:47.060 Alright, let's increase the numerator from 3, 4, 5. 00:00:52.230 Note that, from 5 onwards, this fraction is now considered as an I.F, because the numerator, is equals or greater than the denominator. 00:01:03.060 Let's further increase the numerator of this improper fraction until 11. 00:01:09.060 Now, if we observe carefully, we can actually use these bars to convert this I.F, to M.F. 00:01:16.210 Here's how. 00:01:18.170 Since, all the parts in this 2 bars are green, these bars can be considered as 2 whole green bars. 00:01:26.090 As for the remaining bar, we have 1 out of 5 part colored as green. 00:01:31.210 So here, is the mixed fraction 2, 1 over 5, converted from I.F, 11 over 5. 00:01:39.230 As you can see, using these bars to convert I.F to M.F, is quite tedious. 00:01:46.210 Therefore, we need to learn a quicker way of doing this. 00:01:50.190 Here's how we can quickly convert the I.F, 11 over 5, to a M.F. 00:01:57.150 First, we know that 11 over 5 is the same as 11 divides 5. 00:02:03.120 So, by doing the division, we get the quotient as 2, which is actually the whole number for the mixed fraction. 00:02:12.110 Next, 2 multiply by 5 gives 10. 11 minus 10 gives the remainder as 1. 00:02:20.120 This remainder, 1, becomes the mixed fraction numerator, and it is actually the green part here. 00:02:29.220 Here, we can see that, we had successfully converted this improper fraction to mixed fraction. 00:02:37.060 Next, let's convert this M.F back to I.F. 00:02:42.080 First, we multiply 5 with 2. This gives 10. 00:02:47.170 This multiplication is actually the same as, finding the 10 green colored parts here. 00:02:54.190 Next, notice that, there is 1 more part to include. 00:02:59.170 We can include it by adding, 10 with 1. This gives 11, where it is actually the I.F's numerator. 00:03:09.100 Here, we had successfully done the conversion from M.F to I.F. 00:03:16.210 That is all for this lesson. Try out the practice question to test your understanding.
Practice Questions & More
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.
on converting improper to mixed fractions
on converting mixed to improper fractions
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