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--