On the first day camping, a group hiked at a rate of 2 1/4 miles per hour for 2 1/2 hours before taking a break. How many miles had the group hiked before the break?
2 answers:
Answer: 5 5/8 miles
Step-by-step explanation:
First turn 2 1/4 into an improper fraction
2 x 4 = 8 + 1 = 9
9/4
Now turn 2 1/2 into an improper fraction
2 x 2 = 4 + 1 = 5
5/2
Now multiply
9/4 x 5/2 = 45/8
5 5/8 miles
First, use the distributive property and split 2 off from 1/2 in the hours category. (2) (1/2) Next, multiply 2 1/4 times 2, the first integer in the distributive equation. 2 1/4*2 = 4 1/2 For now, put 4 1/2 aside. Then, multiply 2 1/4 by 1/2. 2 1/4*1/2 = 1 1/8 Now, add the two products together 4 1/2 + 1 1/8 = 5 5/8 Answer is 5 and 5/8 Hope this helps!
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