adding mixed numbers by Jesús Zárate https://padlet.com/jesus_zarate/puhrizfofhw0 2nd term topic en-us 2017-12-12 15:02:04 UTC 2017-12-12 15:09:27 UTC hello@padlet.com Adding and Subtracting Mixed Fractions jesus_zarate https://padlet.com/jesus_zarate/puhrizfofhw0/wish/215442648
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Quick Definition: A Mixed Fraction is a
whole number and a fraction combined,
such as  1 3/4
1 3/4
(one and three-quarters)

To make it easy to add and subtract them, just convert to Improper Fractions first:

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Quick Definition: An Improper fraction has a
top number larger than or equal to
the bottom number,

such as  7/4  or  4/3

(It is "top-heavy")
7/4
(seven-fourths or seven-quarters)

 


Adding Mixed Fractions


I find this is the best way to add mixed fractions:


(You may like to read how to Convert from or to Mixed Fractions)


Example: What is  2 3/4  +  3 1/2  ?


Convert to Improper Fractions:


2 3/4  =  11/4


3 1/2  =  7/2


Common denominator of 4:


11/4  stays as  11/4


7/2  becomes  14/4
(by multiplying top and bottom by 2)


Now Add:


11/4  +  14/4  =  25/4


Convert back to Mixed Fractions:


25/4  =  6 1/4


When you get more experience you can do it faster like this:


Example: What is  3 5/8  +  1 3/4


Convert them to improper fractions:


3 5/8  =  29/8
1 3/4  =  7/4


Make same denominator:  7/4  becomes  14/8  (by multiplying top and bottom by 2)


And add:


29/8  +  1 4/8  =  4 3/8  =  5 3/8

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