Question

John’s house is 20 miles away from his office. He drove 4 miles to take a train. What fraction of miles John drove via train? Write the fraction in its lowest form.

• A. $\frac{4}{5}$
  
• B. $\frac{2}{5}$
  
• C. $\frac{4}{7}$
  
• D. $\frac{1}{4}$
  

Answer 1

The correct option is A $\frac{4}{5}$


Total distance between John's house and his office = 20 miles
Distance travelled by John to take a train = 4 miles
Distance travelled in train = 20 - 4 = 16 miles
Fraction of miles John drove via train $=\frac{16}{20}$

$=\frac{2\times 2\times 2\times 2}{2\times 2\times 5}$

$=\frac{2\times 2}{5}=\frac{4}{5}$

$\therefore$ Option A is the correct answer