While shopping for a party,June bought 2 1/6 pounds of hamburger, 4 1/2 pounds of chicken, and 3 pounds of ham.How much meat did she buy?
To find the total amount of meat June bought, we need to add the weights of the hamburger, chicken, and ham.
First, let's convert the mixed numbers to improper fractions for easier calculations:
2 1/6 pounds of hamburger can be written as (2 * 6 + 1)/6 = 13/6 pounds.
4 1/2 pounds of chicken can be written as (4 * 2 + 1)/2 = 9/2 pounds.
Now we have:
Hamburger: 13/6 pounds
Chicken: 9/2 pounds
Ham: 3 pounds
Next, let's find a common denominator so that we can add the fractions together. In this case, the least common denominator of 6 and 2 is 6.
Rewriting the fractions with this denominator:
Hamburger: (13/6) * (1/1) = 13/6 pounds
Chicken: (9/2) * (3/3) = 27/6 pounds
Ham: (3/1) * (6/6) = 18/6 pounds
Now we can add the fractions together:
Total meat = 13/6 + 27/6 + 18/6
Adding the numerators together, we get:
Total meat = (13 + 27 + 18)/6
Simplifying the numerator:
Total meat = 58/6
By dividing the numerator by the denominator, we find:
Total meat = 9 2/6 pounds
Lastly, we can simplify the mixed number:
Total meat = 9 1/3 pounds
Therefore, June bought a total of 9 1/3 pounds of meat for the party.
To find the total amount of meat that June bought, we need to add up the weights of the hamburger, chicken, and ham.
First, let's add the hamburger and chicken together:
2 1/6 pounds + 4 1/2 pounds
To add these fractions, we need to have a common denominator. In this case, the common denominator is 6.
Converting 4 1/2 pounds to an improper fraction:
4 1/2 = (4 × 2 + 1) / 2 = 9/2
Now, we can add the fractions:
2 1/6 pounds + 9/2 pounds
To add these fractions, we need to have a common denominator. The common denominator is 6.
Converting 2 1/6 pounds to an improper fraction:
2 1/6 = (2 × 6 + 1) / 6 = 13/6
Adding the fractions:
13/6 pounds + 9/2 pounds
To add these fractions, we need to have a common denominator. The common denominator is 6.
Converting 9/2 pounds to an improper fraction:
9/2 pounds = (9 × 3) / (2 × 3) = 27/6
Adding the fractions:
13/6 pounds + 27/6 pounds = (13 + 27) / 6 pounds = 40/6 pounds
Now, let's add the weight of the ham:
40/6 pounds + 3 pounds
To add these fractions, we need to have a common denominator. The common denominator is 6.
Converting 3 pounds to an improper fraction:
3 pounds = (3 × 6) / 6 = 18/6
Adding the fractions:
40/6 pounds + 18/6 pounds = (40 + 18) / 6 pounds = 58/6 pounds
Finally, let's simplify the fraction:
58/6 pounds = 9 2/6 pounds
Therefore, June bought 9 2/6 pounds of meat, which is equivalent to 9 1/3 pounds of meat.