Roberto wants to clean up his neighborhood by picking up trash. The total distance around his block is 1 3/4 of a mile. He decides to do this over a two-day period. If he walks 5/8 of a mile on the first day, how far does he need to walk the second day to pick up trash?
To find out how far Roberto needs to walk on the second day, we'll subtract the distance he walked on the first day from the total distance around his block.
First, let's convert the mixed number, 1 3/4, to an improper fraction:
1 3/4 = (4 * 1 + 3) / 4 = 7/4
So, the total distance around his block is 7/4 of a mile.
Now, let's subtract the distance walked on the first day (5/8 mile) from the total distance:
7/4 - 5/8 = (7 * 2 / 4) - 5/8 = 14/8 - 5/8 = 9/8
Therefore, Roberto needs to walk 9/8 of a mile on the second day to pick up trash.
Roberto needs to walk a total of 1 3/4 miles around his block. He walked 5/8 of a mile on the first day.
The remaining distance he needs to walk is 1 3/4 - 5/8 = 7/8 of a mile.
Therefore, Roberto needs to walk 7/8 of a mile on the second day to pick up the trash. Answer: \boxed{\frac{7}{8}}.
To find out how far Roberto needs to walk on the second day, we need to subtract the distance he walked on the first day from the total distance around his block.
Total distance around the block = 1 3/4 miles
Distance walked on the first day = 5/8 mile
To find the distance left to walk on the second day, we subtract the distance walked on the first day from the total distance around the block:
(1 3/4) - (5/8)
To subtract these fractions, we need to find a common denominator:
First, we multiply the whole number (1) by 8 to match the denominator of the fraction (8):
1 * 8 = 8
So, we have 8/8 as a whole number:
8/8 = 1
Now, we can subtract the fractions with the same denominator:
(8/8 - 5/8) = 3/8
Therefore, Roberto needs to walk 3/8 mile on the second day to pick up trash.