Shadowing Practice: Simplifying Fractions - Learn English Speaking with Video
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In this lesson, I'm going to talk about how to simplify fractions.
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So let's start with a basic example, 6 over 8.
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How can we simplify this fraction?
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Well, notice that 6 and 8 are both even numbers.
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So therefore, we can divide each number by 2.
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6 divided by 2 is 3.
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8 divided by 2 is 4.
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And so the answer is going to be 3 over 4.
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Now what about 8 over 12?
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How can we simplify that fraction?
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So 8 and 12 are even numbers, so we can divide each number by 2.
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8 divided by 2 is 4, 12 divided by 2 is 6.
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Now we still have even numbers, so we can divide it by 2 again.
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4 divided by 2 is 2, 6 divided by 2 is 3.
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so the answer is 2 over 3.
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Another way in which you can do that problem is you could realize
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that 8 is basically 4 times 2 and 12 is 4 times 3
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and so you can cancel 4 and then this will give you the final result of 2 over 3.
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For the sake of practice go ahead and try these two examples 15 over 24 and 35 over 49
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go ahead and simplify those two fractions 15 is 5 times 3 24 is 8 times 3
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so we could cancel a 3 and
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so the final answer for the first example it's going to be 5 over 8
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Now let's move on to the next example.
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What do you know about 35 and 49?
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35 and 49 have a common number that goes into both of them, and that is 7.
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35 is 7 times 5.
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49 is 7 times 7.
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And so we could cancel a 7, giving us the answer 5 over 7.
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Try these two.
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48 over 72 and also 38 over 57.
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Now 48, what two numbers do you think is equal to 48?
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The first two numbers that come in my mind are 8 and 6.
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And 72 is 9 times 8 or 8 times 9.
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So we could cancel on 8.
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Now we could still simplify this further.
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6 is 3 times 2.
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9 is 3 times 3.
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And so these can be cancelled.
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Thus the final answer for that problem is 2 over 3.
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Now what about 38 and 57?
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Both numbers are divisible by 19.
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19 times 2 is 38.
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19 times 3 is 57.
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And once again, the final answer is 2 over 3.
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So now you know how to simplify fractions.
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