add n subtract then simplfy ur answer
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2 Answers

4 2/3 + 5 1/5

 

First we have to put it all over the same denominator (denominator = the number on the bottom of a fraction)

 

So,    4 2/3 = 4 + 2/3 = (4x3)/3 + 2/3 = 12/3 + 2/3 = (12 + 2) / 3 = 14/3

 

And,   5 1/5 = 5 + 1/5 = (5x5)/5 + 1/5 = 25/5 + 1/5 = (25 + 5) / 5 = 30/5

 

So,  

4 2/3 + 5 1/5 = 14/3 + 30/5

Now we need to put this all over the same denominator:

14/3 + 30/5 = (14x5)/(3x5) + (30x3)/(5x3) = 70/15 + 90/15 = (70 + 90) / 15 = 160/15

 

This can then be further simplified by noticing that 160 and 15 both have a common factor (common factor = a number that they can both be divided by). 

 

In this case the common factor is 5. So,

 

160/15 = (32x5) / (3x5)

 

The 5 on the top and bottom of the fractions can then be cancelled out as,   5/5 = 1

 

So this leaves the final answer as:

4 2/3 + 5 1/5 = 32/3          smiley

by Level 5 User (10.2k points)
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