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2
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Write 2.75 as a simplified fraction.

3
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So once you get some practice here.

4
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You're going to find it pretty straightforward to do.

5
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But we're really going to think through it and get the

6
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intuition for why this makes sense.

7
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So if we were to write this down, the 2, that literally

8
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just represents two 1's, I'll just write it down like that.

9
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Then we have the 7 in another color.

10
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We have a 7 one place to the right of the decimal.

11
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It's in the tenths place, with a T-H-S at the end.

12
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So it literally represents 7 over 10.

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And then finally, we have the 5 in the hundredths place, so

14
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it represents 5 over 100.

15
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Now, if I want to write this as a simplified fraction, or

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really as a mixed number, I have to merge these fraction

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parts right here.

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And to add two fractions, you have to have a common

19
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denominator.

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And to figure out the common denominator, you just have to

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think about the least common multiple of 10 and 100.

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And that's 100.

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100 is divisible by both 100 and 10.

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So let's get this 10 to be 100.

25
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So we can do that by multiplying it by 10.

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So when you multiply something by 10, you add a zero

27
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at the end of it.

28
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But you can't just do that to the denominator.

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We also have to do that to the numerator.

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So we multiplied the denominator by 10.

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Let's also multiply the numerator by 10.

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7 times 10 is 70, or 70 over 100.

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It's the exact same thing as 7/10.

34
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Now we can add these two.

35
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What is 70 plus 5?

36
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70 plus 5 is 75.

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And our denominator is 100, so this can be

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rewritten as 2 and 75/100.

39
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And we saw that in the last video, you would read this as

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two and seventy-five hundredths.

41
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Now we aren't in a completely simplified fraction yet

42
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because 75 and 100 have common factors.

43
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And the largest number that goes into both, if you're

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familiar with quarters, is 25.

45
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Three quarters is $0.75, four quarters is 100 cents, or four

46
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quarters is $1.00.

47
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So you divide both of them by 25.

48
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So 75 divided by 25 is 3, and 100 divided by 25 is 4.

49
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So as a simplified mixed number, this

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becomes 2 and 3/4.

51
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And after you do a lot of practice here, and you just

52
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see a lot of numbers like this, it will be almost second

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nature for you to say, oh, 2.75 is the same thing as 2

54
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and 75/100, is the same thing as 2 and 3/4.

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