I have a word problem that I don't quite get.
"Caroline runs 3 1/2 miles in 22 1/4 minutes. How many miles does she run in 1 minute?"
The answer is 14/89
3.5/22.25 = .1573 = 14/89
To find out how many miles Caroline runs in 1 minute, you need to divide the total distance she runs by the total time it takes her.
Given:
Distance: 3 1/2 miles
Time: 22 1/4 minutes
To divide fractions, you need to convert the mixed numbers into improper fractions.
Converting the mixed number distance:
3 1/2 = (3 * 2 + 1) / 2 = 7/2
Converting the mixed number time:
22 1/4 = (22 * 4 + 1) / 4 = 89/4
Now, divide the distance by the time:
(7/2) / (89/4)
To divide fractions, you multiply the first fraction by the reciprocal of the second fraction:
(7/2) * (4/89)
Multiply the numerators (top numbers) and the denominators (bottom numbers):
(7 * 4) / (2 * 89) = 28/178
Simplify the fraction if possible:
28/178 = 2/11
Therefore, Caroline runs 2/11 of a mile in 1 minute.
To find out how many miles Caroline runs in 1 minute, we can divide the total distance (3 1/2 miles) by the total time (22 1/4 minutes). Here's how you can do it step by step:
Step 1: Convert the mixed numbers into improper fractions.
- 3 1/2 can be written as (3 x 2) + 1 = 7/2
- 22 1/4 can be written as (22 x 4) + 1 = 89/4
Step 2: Divide the total distance by the total time.
- 7/2 divided by 89/4 can be written as (7/2) x (4/89) = 28/178
Step 3: Simplify the fraction if necessary.
- We can simplify 28/178 by dividing both the numerator and denominator by their greatest common divisor, which is 2.
- By simplifying, we get 14/89
Therefore, Caroline runs 14/89 miles in 1 minute.