Bobby is hiking along the Appalachian trail. On Thursday he hiked 15 1/3 mile. On Friday he hiked 2 3/4 mile less. How much has he hiked so far?
15 1/3 + 15 1/3 - 2 3/4 = ________ miles
First find how far he hiked on Friday.
You need a common denominator first
15 4/12
2 9/12
When you subtract these fractions, you will need to borrow one from the 15 and write the 1 as 12/12
14 16/12 (
2 9/12
Subtract to get 12 7/12
Add this mixed number to how far you walked on 15 4/12
To find out how much Bobby has hiked so far, we need to add the distances he hiked on Thursday and Friday.
On Thursday, Bobby hiked 15 1/3 miles.
On Friday, he hiked 2 3/4 miles less than he did on Thursday. To find out how much he hiked on Friday, subtract 2 3/4 from 15 1/3.
First, convert both fractions to have the same denominator:
15 1/3 = 46/3
2 3/4 = 11/4
Now, subtract 11/4 from 46/3:
(46/3) - (11/4)
To subtract fractions, we need to find a common denominator, which is the product of the two denominators. In this case, the common denominator is 3 * 4 = 12.
Converting the fractions:
(46/3) * (4/4) - (11/4) * (3/3)
= (184/12) - (33/12)
Now, subtract the numerators and keep the denominator:
= (184 - 33) / 12
= 151/12
So, Bobby hiked 151/12 miles on Friday.
To find the total distance Bobby has hiked so far, add the distances he hiked on Thursday and Friday:
(46/3) + (151/12)
To add fractions, we need a common denominator, which is 3 * 4 = 12.
Converting the fractions:
(46/3) * (4/4) + (151/12) * (3/3)
= (184/12) + (453/12)
Now, add the numerators and keep the denominator:
= (184 + 453) / 12
= 637/12
Therefore, Bobby has hiked a total of 637/12 miles so far.