Examples on How to Divide Fractions
In this lesson, we will see more examples on how to divide fractions. We will also see how we can use common factors to simplify the division.
About This Lesson
After learning the basics, let's take a look at some more example questions. This will help us to gain better understanding on how to divide fractions.
Each of these examples will have the following fractions respectively:
2 proper fractions
1 proper and 1 mixed fractions
2 mixed fractions.
below will explain more.
Tip #1 - The basics
The previous lesson had explained the
basics behind dividing fractions
. Here is the summary:
Know how to find the reciprocal of a fraction
To find the reciprocal of a fraction, we just need to swap the numerator and denominator of that fraction.
Steps to divide fractions
We can divide fractions by:
1) First, change the division sign to multiplication sign
2) Then, change the divisor to its reciprocal.
The math video will show some examples...
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Math Video Transcript
00:00:03.120 In this lesson, we will see more examples on how to divide fractions. 00:00:08.210 Let's divide, 5/8 with 3/4. Here's how to divide fractions. 00:00:13.100 First, we change the division sign to multiplication sign. 00:00:18.010 We can do so, provided that we also swap the numerator and denominator of the divisor, 3/4, to get its reciprocal, 4/3. 00:00:28.170 By doing so, we now have 5/8 multiply by 4/3. 00:00:34.120 By multiplying these fractions, we have 5 multiply by 4, over, 8 multiply by 3. 00:00:42.100 Notice that, we can simplify this before multiplying by dividing 4 and 8 with the common factor, 4. 00:00:49.210 This gives, 1 and 2 respectively. 00:00:53.030 Since there is no more common factor, we can continue to multiply. 00:00:58.100 5 multiply by 1, gives 5. 2 multiply by 3, gives 6. 00:01:06.100 Finally, we have the fraction, 5/6. 00:01:12.080 Next example, let's divide 1/2, with 2 1/3. 00:01:18.110 Notice that, 2 1/3 is a mixed fraction. 00:01:22.240 We need to change it into an improper fraction before we can continue. 00:01:27.220 Multiply 3 with 2. This gives 6. 00:01:32.010 Now, 6 plus 1, gives 7. This 7 becomes the improper fraction's numerator. 00:01:39.140 Hence, we have the improper fraction, 7/3. Now, we can start dividing these fractions. 00:01:48.190 First, we change the division sign to multiplication sign. 00:01:53.150 We can do so, provided that we swap the numerator and denominator of the divisor, 7/3, to get its reciprocal, 3/7. 00:02:04.060 After doing so, we have, 1/2 multiply by 3/7. 00:02:10.150 Multiplying these fractions give, 1 multiply 3, over, 2 multiply 7. 00:02:17.230 Now, 1 multiply 3, gives 3. 00:02:22.040 2 multiply 7, gives 14. 00:02:26.030 So now, we have the fraction, 3/14. 00:02:33.010 Final example, let's divide 1 1/2, with 2 1/4. Here's how to divide fractions. 00:02:40.240 Since these are mixed fractions, we have to convert them into improper fractions before dividing. 00:02:48.060 Let's start with 1 1/2. 2 multiply with 1, gives 2. 00:02:56.050 Now, 2 plus 1, gives 3. This 3 becomes the improper fraction's numerator. 00:03:03.240 With this, we have the improper fraction, 3/2. 00:03:09.030 Similarly, let's convert 2 1/4 to an improper fraction. 4 multiply 2, gives 8. 00:03:19.070 8 plus 1, gives 9. This 9 becomes the improper fraction's numerator. 00:03:27.090 So now, we have the improper fraction, 9/4. 00:03:33.140 Alright, we can start dividing these fractions. 00:03:38.230 First, change the division sign to multiplication sign. 00:03:43.240 We can do so, provided that we swap the numerator and denominator of the divisor, 9/4, to get its reciprocal, 4/9. 00:03:54.130 Now, we have 3/2, multiply by 4/9. 00:04:00.040 By multiplying these fractions, we have 3 multiply 4, over, 2 multiply 9. 00:04:07.190 Here, notice that we can simplify this, by dividing 4 and 2 with the common factor, 2. 00:04:15.080 This gives 2 and 1 respectively. 00:04:19.130 Similarly, we can divide 3 and 9 with the common factor, 3. 00:04:25.160 This gives 1 and 3 respectively. 00:04:30.030 Since there are no more common factors, let's continue the multiplication. 00:04:35.230 Multiply 1 with 2, gives 2. Multiply 1 with 3, gives 3. 00:04:43.180 Finally, we have the fraction, 2/3. 00:04:49.070 That is all for this lesson. Try out the practice questions to test your understanding. --End of How to Divide Fractions Transcript--
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 how to divide fractions
or pick your choice of question below.
on dividing a proper fraction with a mixed fraction
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