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.