the store is 5/6 mile from yuri's house. the bank is 2/5 the distance from yuri's house to the store, how many miles is the bank from yuris house

Verified Answer :

distance of bank from yuri's house=(5/6)*(2/5)=2/6=1/3 mile

Answer:

\(The\ bank\ from\ yuris\ house\ is \frac{1}{3}\ miles.\)

Step-by-step explanation:

As given

\(The\ store\ is\ \frac{5}{6}\ mile\ from\ yuri's\ house.\)

\(The\ bank\ is\ \frac{2}{5}\ the\ distance\ from\ yuri's\ house\ to\ the\ store.\)

Than

\(The\ bank\ from\ yuris\ house = \frac{2}{5}\times (distance\ from\ yuri's\ house\ to\ the\ store) }\)

\(The\ bank\ from\ yuris\ house = \frac{2\times 5}{5\times 6}\)

\(The\ bank\ from\ yuris\ house = \frac{10}{30}\)

\(The\ bank\ from\ yuris\ house = \frac{1}{3}\ miles\)

\(Therefore\ the\ bank\ from\ yuris\ house\ is \frac{1}{3}\ miles\)