Question

A bird flies from its nest (528 1/5) to the bottom of the canyon (-89 3/5). How far did the bird fly?

Answer 1

same as before here, the bird is up above and from there goes down, so we sum up both amounts.

`\bf \stackrel{mixed}{528(1)/(5)}\implies \cfrac{528\cdot 5+1}{5}\implies \stackrel{improper}{\cfrac{2641}{5}}~\hfill \stackrel{mixed}{89(3)/(5)}\implies \cfrac{89\cdot 5+3}{5}\implies \stackrel{improper}{\cfrac{448}{5}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{2641}{5}+\cfrac{448}{5}\implies \stackrel{\textit{using an LCD of 5}}{\cfrac{(1)2641+(1)448}{5}}\implies \cfrac{3089}{5}\implies 617(4)/(5)`

Answer 2

`617(4)/(5)`

Explanation:

We have been given that a bird flies from its nest
`528(1)/(5)` to the bottom of the canyon
`-89(3)/(5)`.

First of all, we will convert both mixed fractions into improper fraction.

`528(1)/(5)\Rightarrow (2640+1)/(5)=(2641)/(5)`

`89(3)/(5)\Rightarrow (445+3)/(5)=(448)/(5)`

To solve our given problem, we will find difference of both elevations as:

`(2641)/(5)-(-(448)/(5))`

`(2641)/(5)+(448)/(5)`

`(2641+448)/(5)`

`(3089)/(5)`

`617(4)/(5)`

Therefore, the bird flown
`617(4)/(5)` units.