Question

A race is 3 miles long. There are water stations every 3/4 mile along the route. How many water stations are along the route?

1. RuslanHeatt

There will be 4 water stations.

Why?

3/4 = .75 as a decimal

Personally, I believe that it’s easier to use decimals, I can explain the way in fractions in the comments if you’d like, just ask.

Anyway, .75 • 4= 3

or 3 / .75 = 4 (division is easier with bigger numbers)

so, there will be 4 water stations, given that the one race is 3 miles long.

If this explanation seems unclear, I’d be happy to explain. Feel free to ask in the comments!! I’m happy to help.

Hope this helps!

2. We are told that a marathon is 26.2 miles long. There is a water station every 1 and 3/100 miles along the race route. We are supposed to write an expression that represents the total number of water stations.

Let x be total number of water stations.

First of all we will convert our mixed fraction into improper fraction.

=> 1 + 3/100

=> 103/100

The total number of water station in the marathon of 26.2 miles will be,

=> 103/100 . x = 26.2

=> x = 26.2 . 100/103

Therefore, x = 26.2 . 100/103 will represent the total number of water stations.