Jody walked 1/3 mile on Monday, 2/3 mile on Wednesday, and 1 3/4 miles on Friday. In simplest form, how far did Jody walk in all on those three days?
1/3 + 2/3 + 7/4
2/3 + 7/4
8/12 + 21/12
29/12
2 5/12
To find how far Jody walked in total, we need to calculate the sum of the distances she walked on each of the three days.
On Monday, she walked 1/3 mile.
On Wednesday, she walked 2/3 mile.
On Friday, she walked 1 3/4 miles, which is the same as 7/4 miles.
Let's add up these distances:
1/3 + 2/3 + 7/4
To add these fractions, we need to find a common denominator. The least common multiple (LCM) of 3 and 4 is 12.
Converting the fractions to have a denominator of 12:
1/3 = 4/12
2/3 = 8/12
7/4 = 21/12
Now let's add them up:
4/12 + 8/12 + 21/12
Adding the numerators:
(4 + 8 + 21)/12 = 33/12
The fraction 33/12 is not in simplest form yet because the numerator (33) and the denominator (12) have a common factor of 3. We can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3.
Dividing 33 by 3 gives 11, and dividing 12 by 3 gives 4. Thus, the fraction simplifies to:
11/4
Therefore, Jody walked a total of 11/4 miles on those three days.