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.
[tex]1\frac{3}{100} =\frac{103}{100}[/tex]
The total number of water station in the marathon of 26.2 miles will be,
[tex]\frac{103}{100}\cdot x=26.2[/tex]
[tex] x=26.2\cdot\frac{100}{103}[/tex]
Therefore, [tex] x=26.2\cdot\frac{100}{103}[/tex] will represent the total number of water stations.
