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In this lesson, we will learn the basics behind multiplying fractions.

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Now, compared to adding or subtracting fractions, it is easier to multiply fractions.

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This is because when we multiply fractions, we don’t have to make the denominators the same.

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For example, let's multiply, 2/3 with 4/5.

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To do so, we just need to multiply the numerators together.

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Therefore, we multiply 2 with 4. This gives 8.

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Next, we multiply the denominators together.

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Therefore, we multiply 3 with 5. This gives 15.

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So finally, we can see that this fraction multiplication gives 8/15.

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Now, let's visually examine how this multiplying fractions work.

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We can represent 2/3, with this rectangle. Similarly, we represent 4/5, with this rectangle.

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When we multiply these fractions, visually, it means that we are combining these rectangles.

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When the green and purple rectangles overlap, they give blue rectangles.

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Here, we can see that, these 8 blue rectangles are represented by the numerator 8.

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Also, notice that there are total of 15 rectangles, which are represented by the denominator 15.

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Alright, let's take a look at more examples on multiplying fractions.

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Let's multiply, 7/8, with 2/5.

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First we multiply the numerators. So, we multiply 7 with 2. This gives 14.

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Next, multiply the denominators. So, we multiply 8 with 5. This gives 40.

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Now, we have the fraction, 14/40.

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Notice that, we can simplify this fraction. To do so, we divide the numerator and denominator with 2.

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This gives the simplified fraction, 7/20.

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Next example, let's multiply 1/3, with 3 1/2.

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Notice the mixed fraction here?

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It is important to change it to an improper fraction before multiplying.

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To do so, first, we multiply 2 with 3. This gives 6.

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Next, we add 6 with 1. This gives 7. This 7 becomes the improper fraction's numerator.

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Hence, we have the improper fraction, 7/2.

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We can now multiply these fractions.

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First, multiply the numerators. So, we multiply 1 with 7. This gives 7.

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Next, we multiply the denominators. So, we multiply 3 with 2. This gives 6.

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Notice that, 7/6 is an improper fraction. Now, rather than leaving the answer like this, it is recommended to change it to a mixed fraction, by using long division.

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Here's how. 7/6 is the same as, 7 divides 6. Now, this division gives the quotient 1. This quotient is actually the whole number for the mixed fraction.

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Next, we multiply 1 with 6. This gives 6. 7 minus 6 gives the remainder as 1.

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This remainder, 1, is actually the mixed fraction's numerator.

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So here, we have the answer in mixed fraction, 1 1/6.

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That is all for this lesson. Try out the practice question to further your understanding.

--End of Multiplying Fractions Transcript--