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Math

Attribution

Some of the content of this guide was modeled after a guide originally created by the Openstax and has been adapted for the GPRC Learning Commons in September 2020. This work is licensed under a Creative Commons BY 4.0 International License .

Fractions 

Check out this presentation by our Math Tutor Dr. Shohreh Rahmati about fractions. 

Fractions and Ratios

 
The general form of a fraction is a/b, where b≠0. A ratio has the following form a:b, where b ≠0. One can convert fractions to ratios and vice versa. 
Example:
5/7 as a ratio is 5:7.
Example:
4:9 as a fraction is 4/9.

Adding Fractions 

 
Step (1):  Make sure the numbers in the denominators are the same.
Step (2):  Rename one or both fractions with the common denominator.
Step (3):  Add numerators, do not add denominators.
Step (4):  Simplify the fraction, if possible.  
Example: 2/6+5/8.
Step (1): We multiply first fraction by 8/8 second fraction by 6/6.
(2/6).(8/8)+(5/8).(6/6)
Step (2):  We add numerators
16/48+30/48=46/48
Step (3): We simplify
46/48=23/24.

 

 

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