Answer:
Step-by-step explanation:
So we're just adding, which would be simple enough without fractions. So let's just focus on those.
1/4 + 1/3 + 2/3
Though you could find out how to add all three, hopefully you know what 1/3 + 2/3 makes. Since they give 1 whole mile, we can add tht tot he other whole numbers so 2 + 3 + 2 and now adding 1 to that which makes 8. So the total distance is 8 1/4.
Since it might want you to know how to add fractions I'll give a quick explanation. Basically, you need to know you can rewrite fractions as equivalent fractions. so 1/2 can be written as 2/4, 3/6 and so on. This is what you want to use. Say you had two fractions 2/5 and 3/7, how would you add those?
Well, we can rewrite 2/5 as 4/10, 6/15, 8/20, 10/25, 12/30 and 14/35. That's as far as we have to go and I will explain why.
Similarly 3/7 can be rewritten as 6/14, 9/21, 12/28 or 15/35. Now, hopefully you see we can write both with 35 as the denominator, so now we can add. 14/35 + 15/35 = 29/35.
Now, we can do it much more quickly than finding every equivalent fraction until we find the same number. Instead, you just multiply the denominators. So with the example I gave 2/5 + 3/7, you basically mutiply the first one by 7 and the second by 5. (2*7)/(5*7) + (3*5)/(7*5) = 14/35 + 15/35.
You have to multiply the numerator and denominator by the same number to ensure they stay as equivalent fractions. There is another way to do this that is a bit more involved, but this method always works so this is what I use.