Question

Carlos biked StartFraction 139 over 8 EndFraction miles on Saturday and StartFraction 135 over 7 EndFraction miles on Sunday. On which day did he ride further and by how much? Carlos rode further on Saturday by 1 and StartFraction 51 over 56 EndFraction miles. Carlos rode further on Saturday by 3 and StartFraction 5 over 56 EndFraction miles. Carlos rode further on Sunday by 3 and StartFraction 51 over 56 EndFraction miles. Carlos rode further on Sunday by 1 and StartFraction 51 over 56 EndFraction miles.

Answer 1

Carlos rode further on Sunday by
`1(51)/(56) miles` miles.

Explanation:

Carlos covered distance on Saturday
`=(139)/(8)`

He covered distance on Sunday =
`(135)/(7)`

Equivalent fractions:

`(139)/(8) * (7)/(7)=(973)/(56)\\ (135)/(7) * (8)/(8)=(1080)/(56)`

So,
`(1080)/(56)>(973)/(56)\\ (135)/(7)>(139)/(8)`

So, He covered more distance on Sunday

Difference between distances =
`(1080)/(56)-(973)/(56)=(107)/(56)=1(51)/(56)`

So, Carlos rode further on Sunday by
`1(51)/(56) miles` miles.