Wednesday, September 15, 2010

Help with adding mixed fractions

Introduction to adding mixed fractions:
A mixed number is the sum of a whole numbers and a proper fraction. This sum is implied without the use of any visible operators such as "+"; for example, in referring to two entire cakes and three quarters of another cake, the whole and fractional parts of the number are written next to each other:

2+(3/4) = 2 ( 3/4)

Add the following mixed fraction numbers
3 (2/3) + 2 (1/3)
Solution:
First we have to convert mixed numbers to normal fraction
Take a first number
= (3*3) +2 / (3)
Simplify the above equation we get
= (11/3)
Similarly take the second term
= (2*3) +1 / (3). This could also help us on logic definition
= (7/3)
Compare the two fraction denominators both are equal so add the numerator directly
= (11+7) / 3
= (18/3)
The fraction is simplified and get 6


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