Oct. 27 Fractions(add/subtr/multiply/mixed/improper)
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Transcript of Oct. 27 Fractions(add/subtr/multiply/mixed/improper)
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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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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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Ex.
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More Examples
8 2a) 9 15
3 6 5b) 10 8 4
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Oct. 26 Assignment
page 67 question 1
page 68 questions 5 (a,c,e,f) 6 (a d)
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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 Represetation
Improper Representation
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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 MixedDetermine 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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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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1 You can change any whole number into a fraction
True False
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More examples required?