Question

james went out for a long walk . He walked 3 2/5 of the mile. then he sat down to take rest . After that he walked 5/7 of a mile. how far did he walk together

Answer 1

Altogether James walked
`4(4)/(35)` miles.

Explanation:

The question involves mixed fractions. Mixed fractions are first converted into proper fractions and then any operation can be performed on them.

Given

Distance of first walk =
`3(2)/(5)` of a mile

Distance of second walk = 5/7

In order to find how much he walked altogether, we have to find the sum of both fractions.

`Total\ distance = 3(2)/(5)+(5)/(7)\\= (17)/(5)+(5)/(7)\\=(17*7)/(5*7) + (5*5)/(7*5)\\=(119)/(35) + (25)/(35)\\=(119+25)/(35)\\=(144)/(35)\\=4(4)/(35)`

Hence,

Altogether James walked
`4(4)/(35)` miles.