Posted by **sam ** on Tuesday, July 16, 2013 at 10:26am.

Ann bought 2/3 lb of carrots 3/4lb of celery and 7/8lb of onions. How many lbs of vegetables did she buy?

- math - addition of fractions -
**MathMate**, Tuesday, July 16, 2013 at 10:34am
The question requires us to add three fractions, with different denominators.

The first step is to find a common denominator which is the LCM (least common multiple) among 3,4 and 8.

Since 4 divides 8, so 4 need not be accounted for. The LCM of 3 and 8 is just the product 24, since there are no common factors between 3 and 8.

Now convert all the fractions to the common denominator of 24, i.e.

2/3 = 16/24

3/4 = 18/24

7/8 = 21/24

Add the numerators and divide by the denominator to get

(16+18+21)/24=55/24= 2 11/24 lbs.

- math -
**sam **, Tuesday, July 16, 2013 at 12:54pm
thank you. Iget it know

- math :) -
**MathMate**, Tuesday, July 16, 2013 at 4:33pm
You're welcome. :)

The method above is correct, but the final result should be 2 7/24 lbs, since 2*24=48, and 55-48=7. Sorry for the oversight.

- math -
**sam **, Tuesday, July 16, 2013 at 5:02pm
Thanks

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