Dena is biking down a 9/10 mile bike trail. She stops to greet a friend after biking 1/3 of a mile. How much farther does she need to travel?
\(\frac{9}{10} - \frac{1}{3} = (\frac{9}{10} \times \frac{3}{3}) - (\frac{1}{3} \times \frac{10}{10})= \frac{27}{30} - \frac{10}{30}\)
\(= \frac{17}{30}\)
x = 9/10 - 1/3
Where 'x' is the amount she needs to travel.
Subtract 1/3 from 9/10.
9/10 - 1/3
Convert to denominators of 30:
27/30 - 10/30
Subtract the numerators:
17/30
So she has to travel 17/30 miles more.