CBSE Class 6 > Class 6 Videos > Proper and improper fractions - Math, Class 6
Proper and improper fractions - Math, Class 6 Video Lecture
FAQs on Proper and improper fractions - Math, Class 6
| 1. What is a proper fraction? |  |
Ans. A proper fraction is a fraction where the numerator (the number above the fraction line) is smaller than the denominator (the number below the fraction line). For example, 3/4 is a proper fraction because 3 is smaller than 4.
| 2. What is an improper fraction? | |
Ans. An improper fraction is a fraction where the numerator is equal to or greater than the denominator. For example, 5/4 is an improper fraction because 5 is greater than 4.
| 3. How can I convert an improper fraction to a mixed number? | |
Ans. To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient becomes the whole number part of the mixed number, and the remainder becomes the numerator of the fractional part. For example, to convert 7/4 to a mixed number, divide 7 by 4, which gives a quotient of 1 and a remainder of 3. So, 7/4 is equivalent to 1 3/4.
| 4. How can I convert a mixed number to an improper fraction? | |
Ans. To convert a mixed number to an improper fraction, multiply the whole number part by the denominator, then add the numerator. The result becomes the numerator of the improper fraction, with the denominator remaining the same. For example, to convert 2 1/3 to an improper fraction, multiply 2 by 3, which gives 6. Then add 6 to 1, which gives 7. So, 2 1/3 is equivalent to 7/3.
| 5. How can I simplify a fraction? | |
Ans. To simplify a fraction, find the greatest common divisor (GCD) of the numerator and denominator. Divide both the numerator and denominator by their GCD to get the simplified fraction. For example, to simplify 12/18, the GCD of 12 and 18 is 6. Divide both 12 and 18 by 6, which gives 2/3. So, 12/18 simplifies to 2/3.
Text Transcript from Video
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.
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.
About this Video
Apr 19, 2026 Last updated
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