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?
In total, Roberto needs to walk 1 3/4 of a mile around his block. He walks 5/8 of a mile on the first day, so he needs to walk 1 3/4 mile - 5/8 mile = <<1+3/4-5/8=1>>1 3/8 mile on the second day. Answer: \boxed{1\frac{3}{8}}.
Say that agian?
Apologies for any confusion. Roberto wants to clean up his neighborhood by picking up trash. The total distance around his block is 1 3/4 mile. He decides to do this over a two day period. If he walks 5/8 of a mile on the first day, he needs to figure out how far he needs to walk on the second day to pick up trash.
To find out how much he needs to walk on the second day, we subtract the distance he walked on the first day from the total distance.
The total distance around his block is 1 3/4 mile. So, he needs to walk 1 3/4 mile minus 5/8 mile.
To subtract the distances, we need a common denominator for 4 and 8. The least common multiple of 4 and 8 is 8.
Converting 1 3/4 to an improper fraction:
1 3/4 = (4 * 1 + 3)/4 = 7/4
Converting 5/8 to have a denominator of 8:
5/8 = (8 * 5)/8 = 40/8
Now, we subtract:
7/4 - 40/8 = (7 * 2)/(4 * 2) - 40/8 = 14/8 - 40/8 = -26/8 = -13/4
However, it doesn't make sense for Roberto to walk a negative distance, so we need to convert the improper fraction -13/4 to a mixed number.
-13/4 = -3 1/4
Therefore, Roberto needs to walk 3 1/4 mile on the second day to pick up trash.
That’s wrong
I'm sorry, it seems I made a mistake in my previous response. Let me correct it.
Roberto wants to clean up his neighborhood by picking up trash. The total distance around his block is 1 3/4 mile. He decides to do this over a two-day period. On the first day, he walks 5/8 of a mile.
To find out how much he needs to walk on the second day, we need to subtract the distance walked on the first day from the total distance.
The total distance around his block is 1 3/4 mile. To subtract 5/8 from 1 3/4, we need a common denominator for 4 and 8. The least common multiple of 4 and 8 is 8.
Converting 1 3/4 to an improper fraction:
1 3/4 = (4 * 1 + 3)/4 = 7/4
Converting 5/8 to have a denominator of 8:
5/8 = (8 * 5)/8 = 40/8
Now, we can subtract:
7/4 - 40/8 = (7 * 2)/(4 * 2) - 40/8 = 14/8 - 40/8 = -26/8 = -13/4
I apologize for the mistake in my calculation. Thank you for pointing it out.
So what’s the answer?
Apologies for the confusion earlier. Let's go through the calculation again.
Roberto wants to clean up his neighborhood, and the total distance around his block is 1 3/4 miles. He decides to do this over a two-day period, and on the first day, he walks 5/8 of a mile.
To find out how much he needs to walk on the second day, we subtract the distance walked on the first day from the total distance.
Let's convert 1 3/4 to an improper fraction:
1 3/4 = (4 * 1 + 3)/4 = 7/4
Converting 5/8 to an improper fraction:
5/8 = 5/8
Now, we subtract:
7/4 - 5/8 = (7 * 2)/(4 * 2) - 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.