Jims dog buried 1/2 of his bones in Marks backyard. He buried 1/3 of his bones in Jeans backyard. He still had 4 bones left to bury.
how many bones did jims dog have in all.
is it 24/6?
Lets say he had 12 bones. Half gone (six), 4 in jeans, 2 left. Hmmm. That is one half of what Jims Dogs really had left.
So try starting with 24 bones.
1/2 + 1/3 + 4=4.8 so round to 5 bones.
To find out how many bones Jim's dog had in total, we need to add up the number of bones buried in Mark's backyard, the bones buried in Jean's backyard, and the remaining bones.
First, let's find the fraction of the bones buried in Mark's backyard. Jim's dog buried 1/2 of his bones in Mark's backyard.
Next, let's find the fraction of the bones buried in Jean's backyard. Jim's dog buried 1/3 of his bones in Jean's backyard.
Now, to find the total number of bones, we can add up these fractions:
1/2 + 1/3
To add fractions with different denominators, we need to find a common denominator. In this case, the least common multiple (LCM) of 2 and 3 is 6.
Converting both fractions to have a denominator of 6:
1/2 = 3/6
1/3 = 2/6
Now, we can add the fractions:
3/6 + 2/6 = 5/6
So, 5/6 of Jim's dog's bones were buried in the backyards.
Lastly, we know that Jim's dog had 4 bones left to bury. Let's add this remaining amount to the fraction we calculated:
5/6 + 4
To add a fraction to a whole number, we need to convert the whole number to a fraction with the same denominator as the fraction:
5/6 + 4/1
Now, we can add the fractions:
5/6 + 4/1 = 9/6 + 24/6 = 33/6
Therefore, Jim's dog had a total of 33/6 bones, which can also be simplified to 5 and 3/6, or 5 and 1/2 bones.