Operations on Fractions
The Addition and Subtraction of Fractions
1. Change the denominator to a common number, through
2. Make sure you multiply the numerators by the same number
that you did with the denominators.
3. Apply addition or subtraction to the numerators
4. Be Sure to keep the denominator the same
When adding and subtracting fractions you must also consider
Subtracting a negative
The numerator will move to the right on the number line and become
Adding a negative
The numerator will move to the left on the number line and
What is a mixed number?
It is a number that includes both a whole number and a fraction!!
You bought 4 large pizzas and each pizza has 8 pieces. Your friend
ate 3 pieces of one of the pizzas before you sat down to eat.
How many pizzas are left?
Back and Forth
Between Mixed and Improper
Mixed to Improper
Multiply the whole number by the denominator of
Add it to the numerator of the fraction.
Improper to Mixed
Determine how many whole times the numerator goes
into the denominator, that is your whole number.
Find out how many parts the whole number makes up
and subtract them from the numerator.
Methods for Adding and Subtracting
Mixed and Improper Fractions
Method 1: Change the fractions to improper
once you have performed your operations
you can turn the answer back to mixed if you
Method 2: Combine integers with the integers,
and the fractions with fractions.
After you can simplify the answer as required