rachel jogged along a trail that was 1/4 of a mile. she jogged along 8 times. how many miles did rachel jog in all

Question

 relate fractions and whole numbers

Answer 1

The easiest way to solve this problem is to convert both numbers to fractions.

 

Rachel's trail was 1/4 of a mile long, and she jogged along it 8 times. 8 can be thought of as the fraction 8/1.

 

Now, we can multiply these numbers by multiplying the numerators together and the denominators together:

(1/4)*(8/1)

(1*8)/(4*1)

8/4

2 miles

 

The fraction 8/4 can be simplified to the whole number 2 by dividing both the numerator and denominator by 4. To think about it another way, you can multiply 8/4 by 4/4. Because 4/4 is equal to 1, you're not changing the value of the fraction. Then, simply cross-cancel to get 2/1, or 2.