Ann bought 2/3 lb of carrots 3/4lb of celery and 7/8lb of onions. How many lbs of vegetables did she buy?
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.
thank you. Iget it know
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.
Thanks
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.