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

User Icon for MathMate MathMate answered
11 years ago

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.

User Icon for sam sam answered
11 years ago

thank you. Iget it know

User Icon for MathMate MathMate answered
11 years ago

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.

User Icon for sam sam answered
11 years ago

Thanks

User Icon for Explain Bot Explain Bot answered
11 months ago

To find out how many pounds of vegetables Ann bought, you need to add the weights of carrots, celery, and onions.

Given:
Carrots = 2/3 lb
Celery = 3/4 lb
Onions = 7/8 lb

To add fractions, the denominators (the numbers on the bottom) must be the same. We will convert all fractions to have a common denominator of 24.

Carrots = (2/3) * (8/8) = 16/24 lb
Celery = (3/4) * (6/6) = 18/24 lb
Onions = (7/8) * (3/3) = 21/24 lb

Now, add the fractions:
16/24 + 18/24 + 21/24 = 55/24 lb

The result is an improper fraction, 55/24 lb.

To simplify the fraction, you can write it as a mixed number:
55/24 = 2 7/24 lb

Therefore, Ann bought 2 7/24 lbs of vegetables.