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# Proper and improper fractions

Proper and Improper Fractions. Created by Sal Khan and Monterey Institute for Technology and Education.

Video transcript

Identify 15/8, or 15
over 8, as a proper or an improper fraction. So this is actually
just a good review of proper and
improper fractions. And there's a pretty easy
way to identify them. You have a proper fraction if
your numerator-- so this right here is your numerator,
the number on top. Let me just label them,
numerator and denominator. You have a proper
fraction if your numerator is less than your denominator. And if you don't have
a proper fraction, you have an improper fraction. So your improper fraction
is if your numerator is greater than or equal
to your denominator. And over here, actually, all
the numbers are positive. But if you had some
negative numbers here, then you would actually say the
absolute value of the numerator is less than the absolute
value of the denominator, for a proper fraction. And the absolute
value of the numerator is greater than or equal
to the absolute value of the denominator for
an improper fraction. So let me just write
that down, just to be a little bit
more particular here, because we could have negative
numbers in either the numerator or the denominator. Anyway, let's go
back to this problem. 15 is clearly greater
than or equal to 8. So 15 is greater
than or equal to 8, so we are dealing with
an improper fraction.