Tom ran 1 1/2 kilometers on Tuesday and 1 1/4 kilometers on Wednesday. How many kilometers did he run in two days? How many more kilometers did he run on Tuesday than on Wednesday?
Answer (2)
Tom ran a total of 2.75 kilometers over the two days. He ran 0.25 kilometers more on Tuesday than on Wednesday.
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To find out how many kilometers Tom ran over the two days and how many more kilometers he ran on Tuesday than on Wednesday, we need to solve two parts of this problem.
First, we'll calculate the total distance Tom ran over the two days by adding the distances from each day:
Tom ran 1 2 1 kilometers on Tuesday and 1 4 1 kilometers on Wednesday. Let's add these two distances together.
Convert the mixed numbers to improper fractions to make the addition easier:
1 2 1 = 2 3
1 4 1 = 4 5
To add these fractions, we need a common denominator. The denominators are 2 and 4, and the least common multiple of 2 and 4 is 4. So, convert 2 3 to a fraction with a denominator of 4:
2 3 = 4 6
Now, add 4 6 and 4 5 :
4 6 + 4 5 = 4 11
Convert the result back to a mixed number:
4 11 = 2 4 3
So, Tom ran a total of 2 4 3 kilometers over the two days.
Next, we find out how many more kilometers Tom ran on Tuesday than on Wednesday:
Subtract Wednesday's distance from Tuesday's distance:
Subtract 1 4 1 from 1 2 1 .
Use the same common denominator method:
1 2 1 = 2 3 = 4 6
1 4 1 = 4 5
Subtract 4 5 from 4 6 :
4 6 − 4 5 = 4 1
Therefore, Tom ran 4 1 kilometers more on Tuesday than on Wednesday.
