Convert each of the following fractions into decimal form if...

Convert each of the following fractions into decimal form. If appropriate, place a dot above a decimal number to show that it repeats. a. 11 / 8 b. 7 / 4 c. 5 / 3 d. 5 / 6 e. 11 / 6

Transcript

0:00 Hello.

00:01 So here we're told to convert the given fractions in two decimal forms.

00:05 So our part a, we have 11 eighths.

00:10 So a fraction is just a division problem.

00:12 So to convert a fraction to a decimal, all we do is divide.

00:15 So 11 eighths means 11 divided by 8, and 11 divided by 8 is going to be 1 .375.

00:23 So 11 8th is equal to 1 .375.

00:27 For part b, let's see, we have now 7 .4s.

00:31 So 7 .4s is just going to be 7 divided by 4.

00:36 7 divided by 4 is 1 .75.

00:39 So 1 .75 is going to be 7 4th.

00:42 And we notice that this makes sense because, again, these fractions, they better be bigger than 1, right? because in both of these for a and b, we have that the numerator is bigger than the denominator.

00:52 And we know that any fraction over itself is equal to 1.

00:55 The bottom number, the denominator, actually tells us how many people.

00:59 We're cutting our hole into, and the top number tells us how many pieces we have.

01:04 So if the top number is bigger than the bottom number, the numerator is greater than the denominator, well, then the fraction should be bigger than one.

01:13 So it makes sense that both of these fractions are bigger than one.

01:16 And that's part c.

01:17 Let's see, we now have five thirds.

01:20 So again, it should be bigger than one.

01:22 What is five thirds? well, that's five divided by three...

Question

Convert each of the following fractions into decimal form. If appropriate, place a dot above a decimal number to show that it repeats. a. 11 / 8 b. 7 / 4 c. 5 / 3 d. 5 / 6 e. 11 / 6

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