Rodney and josiah each bought a package of the same kind of cookies at the store . Rodney ate 1/2 package of cookies on monday and 1/3 of the same package on tuesday. Josiah ate 5/12 of his packsge on monday and 1/2 of the package ontuesday. Who ate more? How much more?
Change these to equivalent fractions with a common denominator.
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Simplify it- Add It-
1/2- 6/12 6/12 + 6/12 + 4/12 + 5/12
1/2- 6/12 Answer- 1 9/12
1/3- 4/12 Note- You're welcome people! Have a good day!
5/12- 5/12
To determine who ate more and by how much, we need to compare the amount of cookies each person ate. Let's calculate the amount of cookies each person ate on each day.
Rodney ate 1/2 of the package on Monday and 1/3 of the same package on Tuesday. To find out the total amount of cookies Rodney ate, we need to find the sum of these two fractions:
1/2 + 1/3
To add these fractions, we need to find a common denominator. The common denominator for 2 and 3 is 6.
So, let's convert both fractions to have a denominator of 6:
1/2 = (1/2) * (3/3) = 3/6
1/3 = (1/3) * (2/2) = 2/6
Now that both fractions have a denominator of 6, we can add them together:
3/6 + 2/6 = 5/6
Therefore, Rodney ate a total of 5/6 of the package.
Now let's calculate the amount of cookies Josiah ate. Josiah ate 5/12 of his package on Monday and 1/2 of the package on Tuesday.
To find the total amount of cookies Josiah ate, we need to add these two fractions:
5/12 + 1/2
Again, we need to find a common denominator. The least common multiple of 12 and 2 is 12.
So, let's convert both fractions to have a denominator of 12:
5/12 = (5/12) * (1/1) = 5/12
1/2 = (1/2) * (6/6) = 6/12
Now that both fractions have a denominator of 12, we can add them together:
5/12 + 6/12 = 11/12
Therefore, Josiah ate a total of 11/12 of his package.
To compare the amount of cookies each person ate, we need to convert both fractions to have the same denominator. The least common multiple of 6 and 12 is 12.
So, let's convert both fractions to have a denominator of 12:
5/6 = (5/6) * (2/2) = 10/12
11/12 remains the same.
Now that both fractions have a denominator of 12, we can compare them:
10/12 vs. 11/12
Since both fractions have the same denominator, we can see that Josiah ate more cookies than Rodney.
To determine how much more Josiah ate, we subtract Rodney's fraction from Josiah's fraction:
11/12 - 10/12 = 1/12
Therefore, Josiah ate 1/12 more of the cookies package than Rodney.