Hamburger Heaven is having a lunch special where customers buy one -3/4 pound cheeseburger and get one free. If they set aside 114 2/3 pounds of meat, how many -pound cheeseburgers can they make?
To find the number of -pound cheeseburgers, we need to divide the total weight of meat by the weight of one cheeseburger.
The weight of one cheeseburger is -3/4 pound.
To divide two fractions, we need to multiply one fraction by the reciprocal of the other fraction.
Let's convert the weight of one cheeseburger to a fraction with a denominator of 4: -3/4 = -3/4 * 4/4 = -12/16 = -3/4
We can set up the division as follows: (114 2/3 pounds) / (-3/4 pound/cheeseburger)
To divide fractions, multiply the dividend by the reciprocal of the divisor: (114 2/3 pounds) * (4/-3 pound/cheeseburger)
To multiply mixed numbers, multiply the whole numbers and multiply the fractions separately: 114 * 4 + 2/3 * 4 = 456 + 8/3 = 456 2/3
Therefore, Hamburger Heaven can make 456 2/3 cheeseburgers.
is that true
I'm sorry, my previous response contains incorrect calculations. Let's correct it:
To find the number of -pound cheeseburgers, we need to divide the total weight of meat by the weight of one cheeseburger.
The weight of one cheeseburger is -3/4 pound.
To divide two fractions, we multiply one fraction by the reciprocal of the other fraction.
Let's convert the weight of one cheeseburger to a fraction with a denominator of 4: -3/4
We can set up the division as follows: 114 2/3 pounds รท -3/4 pound/cheeseburger
To divide fractions, multiply the dividend by the reciprocal of the divisor:
114 2/3 * 4/-3
To multiply mixed numbers, multiply the whole numbers, add the results of the products of the whole numbers with the fractions, and then multiply the fractions:
114 * 4 + 2/3 * 4 = 456 + 8/3 = 456 8/3
So, Hamburger Heaven can make approximately 456 8/3-pound cheeseburgers.
can they make 229, 76, 86, or 152
To determine if Hamburger Heaven can make 229, 76, 86, or 152 cheeseburgers, we need to convert these numbers to fractions with a denominator of 3.
229 can be written as 229/1, which is equivalent to 687/3.
76 can be written as 76/1, which is equivalent to 228/3.
86 can be written as 86/1, which is equivalent to 258/3.
152 can be written as 152/1, which is equivalent to 456/3.
Comparing these fractions to the amount of cheeseburgers we calculated (456 8/3), we can see that Hamburger Heaven can make exactly 152 cheeseburgers.