Question

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?

Answer 1

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

Answer 2

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!