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## Fraction Review

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### Fraction Review What is a Fraction? Mixed numbers to improper fractions Another Way to change Mixed Numbers to improper fractions Equivalent fractions Multiplying By ... – PowerPoint PPT presentation

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Title: Fraction Review

1
Fraction Review
2
What is a Fraction?
A fraction is formed by dividing a whole into a
number of parts
Im the NUMERATOR. I tell you the number of parts
Im the DENOMINATOR. I tell you the name of part
3
Mixed numbers to improper fractions
Convert whole numbers to thirds
Mixed number
Improper fraction
4
Another Way to change Mixed Numbers to improper
fractions
In short 5x3217
Since 5/51 there are 5 fifths in each whole. So
3 wholes will have 3x515 fifths. Plus the 2
fifths already there makes a total of 15217
fifths
5
Equivalent fractions
An equivalent fraction is one that has the same
value and position on the number line but has a
different denominator
Equivalent fractions can be found by multiplying
by a special form of 1
6
Multiplying By a Special Form of One
Why does it work?
• Multiplying any number by 1 does not change the
value 4x14, 9x19 .
• Any number divided by itself 1.

Multiplying a fraction by a special form of one
changes the numerator and the denominator but
DOES NOT CHANGE THE VALUE
7
1
8
Finding equivalent fractions
Convert 5ths to 20ths
Thats 4 so I must multiply by
What do we multiply 5 by to get a product of 20?
Special form of 1
9
Simplifying Fractions Cancelling
• Simplifying means finding an equivalent fraction
with the LOWEST denominator by making a special
form of 1 equal to 1

1
Another way of doing this
10
11
12
Problem You cant add fractions with different
denominators without getting them ready first.
denominators
Solution Turn fractions into equivalent
fractions with a common denominator that is find
the Lowest Common Multiple (LCM) of the two
denominators
13
Finding the Lowest Common Denominator
• The lowest common multiple of two numbers is the
lowest number in BOTH lists of multiples

Multiples of 2 are 2, 4, 6, 8, 10 Multiples of
3 are 3, 6, 9, 12, What is the lowest
common multiple?
14
You cant add fractions with different
denominators

The Lowest Common Multiple of 2 and 3 is 6 so
turn all fractions into sixths
Special form of 1
15
Lowest common denominator is 10 so make all
fractions tenths
16
Turn both fractions into twelfths
17
have to add the numerators 91423
It is 3/3 So I multiply 3/7 by 3/3
It is 7/7 So I multiply 2/3 by 7/7
What is the lowest number BOTH 3 and 7 divide
into? Hmmmmm??????
What special form of 1 will change 7 to 21.
Hmmmm?
What special form of 1 will change 3 to 21.
Hmmmm?
It is 21. So that is my common denominator
Now 3x39 and 2x714 Now I know the new numerators
18