Question

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 Yuri's house?

Answer 1

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

Explanation:

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

Answer 2

1/3 miles

Explanation:

We know that:

the store is
`(5)/(6)` mile from Yuri's house; and

the bank is
`(2)/(5)` the distance from Yuri's house to the store.

Therefore,

the bank from Yuri's house =
`(2)/(5)` × distance from Yuri's house to the store

the bank from Yuri's house =
`(2*5)/(5*6)` =
`(10)/(30)`

the bank from Yuri's house =
`(1)/(3)`

Therefore, the bank from Yuri's house =
`(1)/(3)` miles