Question

Bryan completed a 100-meter race in 11.74 seconds. Luis completed the same race in 11.69 seconds. What was the difference between their times, expressed as a fraction of a second?

Answer 1

`(1)/(20)` of a second

Explanation:

We can convert each time into fractions.

11.74 is the same thing as
`11 (74)/(100)`

and 11.69 is the same thing as
`11 (69)/(100)`.

We know that 11 - 11 = 0, so we can focus on the fractions for now.

Let's subtract
`(69)/(100)` from
`(74)/(100)`.

`(74)/(100) - (69)/(100) = (5)/(100)`.

We can now simplify
`(5)/(100)` by dividing both the numerator and denominator by 5.

`(5/5)/(100/5) = (1)/(20)`.

Hope this helped!