Answer:
of a mile
Step-by-step explanation:
<u>To find a segment of a fraction, you must first find the LCM of each value's denominator:</u>
<em>LCM</em> - <em>Lowest Common Multiple</em>
The lowest common multiple is the number that shows up first in each number's multiple set.
Example: LCM of 4 and 6
Multiples of 4: 4, 8, 12, 16, 20
Multiples of 6: 6, 12, 18, 24, 30
Because 12 is the first number to show up in each multiple set, 12 is the LCM.
<u>So, to be able to solve this problem easy, do the same with 5 and 3:</u>
5, 10, 15, 20, 25
3, 6, 9, 12, 15
Since 15 is the first number in both sets, 15 is the LCM.
<u>The next step is to multiply </u>
<u> by </u>
<u>, x being the value that can be multiplied with the denominator to equal 15:</u>
×
= ![\frac{12}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B15%7D)
<u>To find how much </u>
<u> of </u>
<u> is, multiply the fractions together:</u>
×
=
<u>Simplify the fraction by dividing the numerator and denominator by 3.</u>
<u />
÷
= ![\frac{8}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B15%7D)
Because the fraction can't be simplified any further, <u>Aimee has walked a total of</u><u> </u>
<u> of a mile.</u>