To find out how many kilometers Bailey has left to run, you can subtract the distance she has completed from the total distance of the race.
Bailey has completed \(3 \frac{3}{4}\) km and the total distance is 5 km. First, we need to convert \(3 \frac{3}{4}\) km to an improper fraction.
\(3 \frac{3}{4} = \frac{3 \times 4 + 3}{4} = \frac{12 + 3}{4} = \frac{15}{4}\) km.
Now, let's convert 5 km into an improper fraction as well:
\(5 = \frac{5 \times 4}{4} = \frac{20}{4}\) km.
Now, we can subtract the distance completed from the total distance:
\[ \frac{20}{4} - \frac{15}{4} = \frac{20 - 15}{4} = \frac{5}{4} \text{ km} \]
Now, we can convert \(\frac{5}{4}\) km back into a mixed number:
\(\frac{5}{4} = 1 \frac{1}{4}\) km.
So, Bailey has 1 [__] 1/[4] km left to run.
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