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Improper Fractions and Mixed Numbers 13102 Views
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Description:
Meet our gang of fraction friends: proper fractions, improper fractions, and mixed numbers. Learn how to convert improper fractions to and from mixed numbers. Warning: even though some of these numbers may be tiny, they’ve got big personalities.
Transcript
- 00:04
Improper Fractions and Mixed Numbers, a la Shmoop.
- 00:07
Numbers come in all shapes and sizes.
- 00:09
Some are big...
- 00:09
...and some are little...
- 00:10
Some are whole...
Full Transcript
- 00:12
...and others are a bit fractured.
- 00:14
As far as fractions go, it's a mixed bag.
- 00:17
Some fractions are proper...
- 00:21
...some are improper...
- 00:24
...and then there are those that are just a little mixed up.
- 00:27
Proper fractions have a numerator that's smaller than the denominator.
- 00:32
Which means they're always less than 1.
- 00:34
Proper fractions also donate to charities and volunteer in soup kitchens.
- 00:38
They know they're not greater than anyone else around them.
- 00:41
Improper fractions, on the other hand, are a little full of themselves.
- 00:44
They've got big heads... well, big numerators, anyway.
- 00:48
In improper fractions, the numerator is bigger than the denominator...
- 00:51
...which means they're greater than 1.
- 00:55
Since fractions aren't supposed to be greater than 1, we call these guys improper.
- 00:59
They're a bit on the rude side.
- 01:05
But if they get on our nerves...
- 01:06
... we can change them into mixed numbers.
- 01:09
Mixed numbers are combinations of whole numbers and fractions...
- 01:13
... so they may be a bit confused at times.
- 01:15
Maybe they're going through an identity crisis or something, we don't really know.
- 01:22
We can change improper fractions into mixed numbers
- 01:24
by dividing the numerator by the denominator.
- 01:27
That's what fractions are, right? Division.
- 01:31
We'll end up with a number and a remainder.
- 01:37
The number is the whole number in front,
- 01:39
and the remainder goes in the numerator of the fraction that follows it.
- 01:45
If we're sick of being mixed up by mixed numbers...
- 01:47
... we can change them back into improper fractions, too.
- 01:51
Since we divided to change them, let's multiply to change them back.
- 01:55
First, we multiply the denominator by the whole number.
- 01:58
Once we find that product, we add it to the numerator of our mixed number's fraction.
- 02:03
Then, we put that number all over the original denominator...
- 02:08
...to get our improper fraction.
- 02:10
So in the end, mixed numbers and improper fractions
- 02:12
can express the same number 2 different ways.
- 02:15
It's up to you to decide which is better: improper... or mixed.
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