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

Respuesta :

Answer:

Altogether James walked [tex]4\frac{4}{35}[/tex] miles.

Step-by-step 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 = [tex]3\frac{2}{5}[/tex] 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.

[tex]Total\ distance = 3\frac{2}{5}+\frac{5}{7}\\= \frac{17}{5}+\frac{5}{7}\\=\frac{17*7}{5*7} + \frac{5*5}{7*5}\\=\frac{119}{35} + \frac{25}{35}\\=\frac{119+25}{35}\\=\frac{144}{35}\\=4\frac{4}{35}[/tex]

Hence,

Altogether James walked [tex]4\frac{4}{35}[/tex] miles.