Question

A marathon is 26.2 miles long. There is a water station every 1 and 3/100 miles along the race route. Which expression represents the total number of water stations?

Answer 1

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.

$1\frac{3}{100} =\frac{103}{100}$

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

$\frac{103}{100}\cdot x=26.2$

$x=26.2\cdot\frac{100}{103}$

Therefore, $x=26.2\cdot\frac{100}{103}$ will represent the total number of water stations.