Enrique charges $5 for every 1/5 hour he spends walking dogs. In the morning he walks Buttons for 2/5 hour, Bruno for 1/5 hour, and Pepper for 3/5 hour, Monday through Friday. On Saturdays he takes Mimi, Diva, and Coco to the dog park for 4/5 of an hour. On Wednesday this week it rained and Pepper wanted to stay out for only 1/5 hour. How many hours did Enrique spend with the dogs this week? Explain your method.
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To find out how many hours Enrique spent with the dogs this week, we need to calculate the total time he spent with each dog and then sum them up.
On Monday through Friday:
- Walking Buttons for 2/5 hour
- Walking Bruno for 1/5 hour
- Walking Pepper for 3/5 hour
On Saturday:
- Taking Mimi, Diva, and Coco to the dog park for 4/5 hour
On Wednesday (rainy day):
- Pepper only stayed out for 1/5 hour
To calculate the total time:
1. Convert all the fractions to a common denominator. In this case, we'll use fifths (1/5).
- Buttons: 2/5 hour
- Bruno: 1/5 hour
- Pepper: 3/5 hour
- Mimi, Diva, and Coco: 4/5 hour
- Pepper (rainy day): 1/5 hour
2. Add them all together:
2/5 + 1/5 + 3/5 + 4/5 + 1/5
To add these fractions, we need to have the same denominator:
2/5 + 1/5 + 3/5 + 4/5 + 1/5 = (2 + 1 + 3 + 4 + 1)/5
= 11/5
3. Simplify or convert it to a mixed number:
Divide the numerator (11) by the denominator (5):
11 ÷ 5 = 2 with a remainder of 1
So, the total time Enrique spent with the dogs this week is 2 and 1/5 hours.