Understanding Fractions Transcript

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This lesson shows you basic ideas behind in understanding fractions.

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Let's say that we are given the expression, 2 divide 5.

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Now, we should know that, 2 divide 5 can be changed into the form of fraction, which is, 2 over 5.

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In this form, the upper part of the fraction is called, numerator, and the lower part is called, denominator.

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Now, since the numerator is smaller than the denominator, this fraction is a proper fraction.

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Next, let's try to understand what does fraction means.

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To do so, consider this long piece of bar.

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When the fraction has a denominator of 5, this means that this bar is divided into, one, two, three, four, five small equal parts.

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When the numerator is 2, it means that we selected 2 out of 5 parts of the bar, shown by the yellow colored parts.

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Now, when we increase the numerator to three, four, five, observe the number of the yellow parts increase as well.

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Here, notice that the numerator, and the denominator, are now the same.

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This kind fraction means that, we are dividing 5 with 5, which gives 1.

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We can visualize this by seeing the entire bar as 1 yellow piece.

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Let's examine further, when we increase the numerator from 5 to 6, the numerator is now greater than the denominator.

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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.

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Now, let's further elaborate this fraction. By now, we should know that 6 over 5 is the same as 6 divides 5.

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Also, from what we have seen here, 6 over 5 is also the same as one, one over five.

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The next thing that we should know, since the numerator is greater than the denominator, this fraction is an improper fraction.

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Also, when 6 over 5 is written in this way, this fraction is called a mixed fraction.

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Alright, let us continue to increase this numerator . Observe how the improper fraction and mixed fraction changes.

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The improper fraction, 7 over 5, will have the mixed fraction as 1, 2 over 5.

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The improper fraction, 8 over 5, will have the mixed fraction as 1, 3 over 5.

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The improper fraction, 9 over 5, will have the mixed fraction as 1, 4 over 5.

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The improper fraction, 10 over 5 is the same as 10 divided by 5, which gives 2.

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The improper fraction, 11 over 5, will have the mixed fraction as 2, 1 over 5.

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Alright, that is all for this lesson. Try out the practice question to further your understanding.