Question

Question

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?(1 point)
of a mile

Answer 1

To find the distance 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 the block.

Total distance around the block = 1 3/4 miles
Distance walked on the first day = 5/8 miles

Distance walked on the second day = Total distance around the block - Distance walked on the first day
Distance walked on the second day = 1 3/4 miles - 5/8 miles

First, we need to convert the mixed number 1 3/4 to an improper fraction.
1 3/4 = (4*1 + 3)/4 = 7/4

Now, we can subtract the fractions.
Distance walked on the second day = 7/4 miles - 5/8 miles

To subtract the fractions, we need a common denominator which is 8.
Distance walked on the second day = (7/4)*(8/8) miles - 5/8 miles
Distance walked on the second day = 56/32 miles - 5/8 miles

Now, we can subtract the fractions.
Distance walked on the second day = (56/32 - 5/8) miles
Distance walked on the second day = (56 - 20)/32 miles
Distance walked on the second day = 36/32 miles

To simplify the fraction, we can divide the numerator and denominator by their greatest common factor, which is 4.
Distance walked on the second day = (36/4)/(32/4) miles
Distance walked on the second day = 9/8 miles

Therefore, Roberto needs to walk 9/8 of a mile on the second day to pick up trash.