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
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.
To find out how far Roberto needs to walk on the second day to pick up trash, we first need to find the total distance he walks on the first day and subtract it from the total distance around his block.
Step 1: Convert the distance around the block from a mixed number to an improper fraction.
1 3/4 can be written as (4 * 1 + 3) / 4 = 7/4.
Step 2: Find the distance Roberto walks on the first day as an improper fraction.
5/8 can be left as it is.
Step 3: Subtract the distance from the first day from the total distance.
To do this, we need to find a common denominator for 8 and 4, which is 8. We can multiply the numerator and denominator of 5/8 by 4/4 to get a denominator of 8. So 5/8 is equivalent to 20/32.
The total distance Roberto needs to walk on the second day is 7/4 - 20/32.
Step 4: Subtract the fractions by finding a common denominator.
To subtract the fractions, we need to find a common denominator. In this case, it is 32. We can multiply the numerator and denominator of 7/4 by 8/8 to get a denominator of 32. So 7/4 is equivalent to 56/32.
56/32 - 20/32 = (56 - 20) / 32 = 36/32.
Step 6: Simplify the fraction if necessary.
The fraction 36/32 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 4.
36/32 = (36 ÷ 4) / (32 ÷ 4) = 9/8.
Therefore, Roberto needs to walk 9/8 of a mile on the second day to pick up the trash.
To find out how far Roberto needs to walk on the second day, we first need to determine how much distance he covered on the first day.
Given that he walked 5/8 of a mile on the first day, we subtract this distance from the total distance around the block:
1 3/4 - 5/8 = 7/4 - 5/8
To subtract the fractions, we need to find a common denominator, which in this case is 8:
7/4 - 5/8 = (7/4) * (2/2) - 5/8
= 14/8 - 5/8
Now we can subtract the fractions:
14/8 - 5/8 = 9/8
So, Roberto covered a distance of 9/8 of a mile on the first day.
To find out how far he needs to walk on the second day, we subtract this distance from the total distance around the block:
1 3/4 - 9/8 = (7/4) * (2/2) - 9/8
= 14/8 - 9/8
Now we can subtract the fractions:
14/8 - 9/8 = 5/8
Therefore, Roberto needs to walk 5/8 of a mile on the second day to pick up trash.