Zach is walking to his best friend's house, which is 5 1/3 blocks away, so far he has walked 2 5/6 blocks. How many more blocks does he need to walk?
5 1/3 = 4 4/3 = 4 8/6
4 8/6 - 2 5/6 = ?
2 3/6 = 2 1/2
To find out how many more blocks Zach needs to walk, we need to subtract the distance he has already walked from the total distance to his friend's house.
Given:
Total distance to his friend's house = 5 1/3 blocks
Distance Zach has already walked = 2 5/6 blocks
To find a common denominator, we can convert the whole number (5) to a fraction by multiplying it by the denominator of the fraction (3), and adding the numerator (1).
5 x 3 + 1 = 16
So, the total distance to his friend's house can be rewritten as 16/3 blocks.
Now, let's subtract the distance Zach has already walked from the total distance to find how many more blocks he needs to walk.
16/3 blocks - 2 5/6 blocks
We need to first convert the whole number (2) to a fraction with the same denominator (6):
2 x 6 = 12
So, 2 can be written as 12/6.
Now we have:
16/3 blocks - 12/6 blocks
To subtract fractions, we need a common denominator. The least common multiple of 3 and 6 is 6.
Converting 16/3 blocks to fractions with a denominator of 6:
16 x 2 = 32
So, 16/3 blocks can be written as 32/6 blocks.
Now we can subtract the fractions:
32/6 blocks - 12/6 blocks = 20/6 blocks
Simplifying the fraction:
20/6 blocks = 10/3 blocks
Therefore, Zach needs to walk 10/3 blocks more to reach his friend's house.