A motor racing circuit has length 5 5/6 miles.
A straight section of the circuit has length 1 1/4 miles.
What fraction of the circuit is the straight section?
Give your answer in its simplest form.
Total length = 5 5/6 miles = 35/6 miles Straight section = 1 1/4 miles = 5/4 miles
The fraction of the circuit which is straight is [tex] \frac{1 \, 1/4}{5 \, 5/6} = \frac{5/4}{35/6} = \frac{5 \times 6}{4 \times 35} = \frac{3}{14} [/tex]