Parts of multiple Wholes

​Improper Fractions

Sometimes you will end up with a fraction whose Numerator is bigger than the Denominator. When this happens it is called an Improper Fraction.
Numerator: The top part of a fraction, the number of pieces.
Denominator: The bottom part of the fraction, total number of pieces.

Sometimes when you divide there is a Remainder. That is fine! Just put the Remainder back over the Denominator.

​with some Subtraction

Divide the Numerator by the Denominator. This will tell you how many Wholes were in the Improper Fraction.

​It's just Division,

Converting Improper Fractions

5/2 is the same as 5÷2 which is 2 r1 or 2 1/2.

7/4 or 7÷4 which is 1 r3 or 1 3/4.
Can you figure out the others shown?

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​Here are Examples:

Mixed Numbers

​Wholes with Partials

As we know the number 1 may be represented by any fraction where the Numerator = the Denominator. So whenever the Numerator is bigger than the Denominator we can rewrite those pieces as a Whole Number.
A Whole Number beside a fraction is a Mixed Number.

The fun thing is we can change them back to Improper Fractions if we wanted to.

​

​Here are Examples:

Then add the Numerator to get the total number of parts. You then put the sum back over the Denominator and have an Improper Fraction again.

​with some Addition

Multiple the Whole Number by the Denominator, this will the convert the Wholes back into parts.

​Is just Multiplication,

Converting Mixed Numbers