words problems with fractions

WORD PROBLEM:

Today, Johns lemon stand sold 9 1/2 lemons. Down the street, Stevens lemon stand sold 2 5/6 more lemons than John did. How many lemons did Steven sell?

 

Since its saying Steven sold 2 5/6 more lemons than john did, you have to add Stevens fraction to john’s fraction to find out the how much lemon Steven sold all together.  

9 1/2 + 2 5/6 (change to in improper fraction)

= 19/2 + 17/6  

(19×6=144)/(2×6=12) + (17×2= 34)/(6×2=12)

= 144/12 + 34/12 = 178/12 (Find the Greatest Common Factor)

GCF of 178 and 12 = 2

Now you divide 178 and 12 by 2.

178/12 = 89/6 (now you change the fraction to a mixed fraction)

89/6 = 14 5/6

Steven sold 14 5/6 lemons.

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