This lesson is about equivalent fractions. We will learn the important ideas behind and how to find these fractions.
About This Lesson
One of the most important thing we need to know when learning fractions, is to be able to find fractions that are equivalent.
A good understanding in this will help in solving problems involving fractions that have different denominators.
First, this lesson will cover the basic ideas behind equivalent fractions. Then, we will see how we can find these fractions.
You can proceed by reading the
first or watch the
or try out the
Two fractions are considered equivalent when they have the same value. This is shown in the picture below:
Now, we can find equivalent fractions using the following steps:
Multiply/divide the numerator with a number
Multiply/divide the denominator with the same number
Below are some examples to illustrate this:
math video below
will explain more.
Math Video Transcript
00:00:02.100 In this lesson, we will learn about equivalent fraction. We will also learn how to find them. 00:00:09.010 Let's start. Equivalent fractions are fractions that have the same value. What does this means? Let's find out. 00:00:18.040 Consider this fraction, 1/2. We know that this fraction is the same as 1 divides 2, which is equals to 0.5. 00:00:28.150 Again, let's consider this fraction 3/6. This fraction is the same as 3 divides 6, which is also equals to 0.5. 00:00:39.140 Notice that, these 2 numbers are the same. 00:00:44.030 So, this means that these 2 fractions are equivalent. 00:00:49.130 Now, with this in mind, let's examine this visually to understand this better. 00:00:56.230 We are going to use these 2 fractions, 3/4, to further elaborate on this. 00:01:04.140 Let's start finding fractions that are equivalent to 3/4. 00:01:09.120 To find these fraction, we just need to multiply the fraction's numerator, and denominator with the same number. 00:01:17.210 For example, we can multiply the numerator 3, with 2, and the denominator 4, with 2. 00:01:24.230 This gives the fraction 6/8. Now, we can visually see that 6/8, is equivalent to 3/4, because the total height of the colored parts remains the same. 00:01:40.000 Next, let's multiply the numerator 6, with 3, and the denominator 8, with 3. 00:01:47.160 Now, this fraction becomes, 18/24. Again, since the total height of the colored parts are the same, these 2 fractions are equivalent. 00:02:01.070 Now, why do we need to multiply both the numerator and denominator with the same number? 00:02:08.030 In order to explain this, lets say that we only multiply the denominator with 2. This gives 3/8. 00:02:17.050 Here, we can easily see that these 2 fractions are not equivalent. This is because the total height of the colored parts are not the same. 00:02:27.210 Hence, to make them the same again, we need to multiply the numerator with the same number, which is 2 for this case. 00:02:36.090 This gives 6/8, and now these fractions are equivalent again. With this, we can say that equivalent fractions can only be obtained by multiplying the numerator and denominator with the same number. 00:02:51.130 Next, can we also get E.F from division? 00:02:56.110 Let's find out, using this fraction 18/24. Notice that, we can divide the numerator with 6, and denominator with 6. 00:03:08.170 By doing so, we have the fraction, 3/4. Since the total height of the colored parts remains the same, these 2 fractions are equivalent. 00:03:20.230 Here, note that this fraction is a simplified fraction. This is because we are not able to continue to do any more division on it. 00:03:30.080 Now, how about addition or subtraction? 00:03:35.120 Let's find out, by adding 2 to the numerator and denominator. After doing so, we can see that the total heights of the colored parts are not the same. 00:03:48.070 So, addition does not gives E.F. 00:03:55.220 Next, by subtracting the numerator and denominator with 2, again we can see that the total heights of the colored parts are not the same. So, subtraction does not gives E.F. 00:04:10.080 Therefore, we know that, we can get equivalent fractions from multiplication or division, and not from addition or subtraction. 00:04:18.090 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 Equivalent Fractions
or pick your choice of question below.
on finding fractions that are equivalent.
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