Guide to Changing Improper Fractions and Mixed Numbers
An improper fraction is a fraction whose numerator (top number) is larger
than its denominator (bottom number).
Example:
3
2
*To turn an improper fraction into a mixed number, divide the numerator
by the denominator. Write your new whole number big to the left, your
remainder will be your numerator, and the denominator will stay the same.
Ex. 1
Step 1: Divide the numerator by the
denominator.
9
2
9  2 = 4 r1
Step 2: Write the whole number answer
big to the left, make your remainder the
numerator and the denominator will
stay the same as before.
4
Ex. 2
11
3
1
2
11  3 = 3 r2
3
2
3
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A mixed number is a fraction that is greater than 1 whole. A mixed number
will have a whole number followed by a fraction.
Example:
1
1
2
*To turn a mixed number into an improper fraction, multiply the
denominator by the whole number and add the numerator. Put the
answer on top of the original denominator.
Ex. 1
4
7
Step 1: Multiply the whole number times
the denominator of the fraction.
1
Step 2: Add the numerator of the
fraction to the answer to step 1
4
1
7
Step 3: Write the answer to step 2 as the
numerator and keep the denominator
the same as the mixed number.
Ex. 2
1x7=7
3
2
5
7 + 4 = 11
3
2
5
11
7
3 x 5= 15
15 + 2= 17
17
5