Need help in understanding fractions? This lesson will show you the basic ideas on fractions and the common terms used in describing fractions...
About This Lesson
To begin understanding fractions, this lesson introduces you the basic ideas behind fractions.
This lesson will also shows the common terms used in describing fractions. These terms are:
You can proceed by reading the
first or watch the
or try out the
Tip #1 - Numerator and Denominator
When we divide two numbers, we will usually write the expression this way:
Now, the above expression can also be written in the form of fraction as shown in the picture on the right.
Notice that, the fraction is divided into 2 parts. The upper part is the
and the lower part is the
math video below
will explain more.
Tip #2 - Proper Fractions
When a fraction's numerator is
than the denominator, this fraction is a proper fraction. Below are some examples:
Tip #3 - Improper Fractions & Mixed Fractions
A fraction is considered as an improper fraction when its numerator is
greater or equals
to the denominator. Below are some examples:
Note that, mixed fraction is actually equivalent to proper fraction. The only difference is the way they are written.
The picture on the right illustrates this. The
math video below
will explain more on this.
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Math Video Transcript
Understanding Fractions Transcript 00:00:03.020 This lesson shows you basic ideas behind in understanding fractions. 00:00:07.230 Let's say that we are given the expression, 2 divide 5. 00:00:12.190 Now, we should know that, 2 divide 5 can be changed into the form of fraction, which is, 2 over 5. 00:00:21.110 In this form, the upper part of the fraction is called, numerator, and the lower part is called, denominator. 00:00:30.030 Now, since the numerator is smaller than the denominator, this fraction is a proper fraction. 00:00:36.220 Next, let's try to understand what does fraction means. 00:00:42.070 To do so, consider this long piece of bar. 00:00:46.190 When the fraction has a denominator of 5, this means that this bar is divided into, one, two, three, four, five small equal parts. 00:00:57.240 When the numerator is 2, it means that we selected 2 out of 5 parts of the bar, shown by the yellow colored parts . 00:01:07.010 Now, when we increase the numerator to three, four, five, observe the number of the yellow parts increase as well. 00:01:15.240 Here, notice that the numerator, and the denominator, are now the same. 00:01:21.080 This kind fraction means that, we are dividing 5 with 5, which gives 1. 00:01:28.050 We can visualize this by seeing the entire bar as 1 yellow piece. 00:01:35.050 Let's examine further, when we increase the numerator from 5 to 6, the numerator is now greater than the denominator. 00:01:43.160 Here, we can visualize the fraction, 6 over 5, by seeing this yellow bar as 1, and the next bar has 1 of the 5 parts as yellow. 00:01:54.050 Now, let's further elaborate this fraction. By now, we should know that 6 over 5 is the same as 6 divides 5. 00:02:04.060 Also, from what we have seen here, 6 over 5 is also the same as one, one over five. 00:02:12.150 The next thing that we should know, since the numerator is greater than the denominator, this fraction is an improper fraction. 00:02:20.220 Also, when 6 over 5 is written in this way, this fraction is called a mixed fraction. 00:02:29.110 Alright, let us continue to increase this numerator . Observe how the improper fraction and mixed fraction changes. 00:02:37.210 The improper fraction, 7 over 5, will have the mixed fraction as 1, 2 over 5. 00:02:45.080 The improper fraction, 8 over 5, will have the mixed fraction as 1, 3 over 5. 00:02:52.110 The improper fraction, 9 over 5, will have the mixed fraction as 1, 4 over 5. 00:03:00.000 The improper fraction, 10 over 5 is the same as 10 divided by 5, which gives 2. 00:03:07.050 The improper fraction, 11 over 5, will have the mixed fraction as 2, 1 over 5. 00:03:15.060 Alright, that is all for this lesson. Try out the practice question to further your understanding. --End of Understanding 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 Understanding Fractions
or pick your choice of question below.
on the basics terms needed in understanding fractions
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