Kevin is riding his bike on a 10 1/8 mile bike path. He has covered 5 3/4 miles already. How many more miles does he have to go to finish?

Respuesta :

You do 10 1/8 minus 5 3/4 which is 35/8, or 4 3/8
so pretty much all we have to do here is subtract 10 and 1/8 minus 5 and 3/4. here's the solving 
      1             3
10 ---   -    5 ---
      8             4

the first thing we should do here is turn them into mixed fraction by multiplying the whole number and the denominator. and add the top number. so for 10 and 1/8 we multiply 8 and 10 which is 80 and add the one.
so now we have our numerator which is 81/8 the bottom number stays the same!!
so we now have our first mixed fraction!!
81
---
 8
 now 5 and 3/4 as a mixed number is 23/4 see how the bottom number stayed the same?
23
---
 4
MOVING ON!
now we just changed how these numbers look like so lets set them up again 

81       23
---   -   ---
 8         4
now before we solve this we have to make the denominators( the bottom numbers) the same! 

so we can multiply the 4 by 2 to get 8!
but always make sure to do the same to the top as you did to the bottom 
so that means we are also multiplying 23 by 2!!
so we have our new fraction!
46
---
 8
see this is simple now! lets set up our fractions again

81        46
---   -    --- 
 8          8
now we just subtract the top numbers 81 - 46 = 35!!
so our answer is 35/8

or written as a decimal 4.375 to be exact:))

hope this helped :)