The document provides information on operations with fractions, including: 1) Adding and subtracting fractions requires changing denominators to a common denominator and applying the operation to the numerators, keeping the denominator the same. 2) Subtracting a negative fraction moves the numerator to the right on the number line, making it larger, while adding a negative moves the numerator left, making it smaller. 3) Mixed numbers represent numbers that include both a whole number and a fraction, and can be changed to or from improper fractions through multiplication and addition/subtraction.

1. 1

2. 2

3. Operations on Fractions
The Addition and Subtraction of Fractions
Remember
1. Change the denominator to a common number, through
multiplication.
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
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4. 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
larger
­ (­)
Adding a negative
The numerator will move to the left on the number line and
become smaller
+ (­)
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5. Ex. 1 ­3
­
2 5
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6. More Examples
8 2
a) 9 15
3 6 5
b) 10 8 4
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7. Oct. 26 Assignment
page 67 question 1
page 68 questions ­ 5 (a,c,e,f)
­ 6 (a ­ d)
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8. 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?
Mixed Improper
Represetation Representation
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9. Back and Forth
Between Mixed and Improper
Mixed to Improper
Multiply the whole number by the denominator of
the fraction.
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.
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10. 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
want
Method 2: Combine integers with the integers,
and the fractions with fractions.
After you can simplify the answer as required
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11. 11

12. 1 You can change any whole number into a fraction
True
False
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13. More examples required?
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