company A:1/5
company B:4/25
company C:2/5
company D:3/20
BILL AND ANDY WERE RACING TO SEE WHO COULD RUN THE FARTHEST IN 14 MINUTES. BILL RAN 1 5/8 OF A MILE, AND ANDY RAN 1 3/4 OF A MILE. HOW MUCH FARTHER DID ANDY RUN THAN BILL?
To find out how much farther Andy ran than Bill, we need to calculate the difference between the distances each of them ran.
First, let's convert the mixed numbers to improper fractions.
Bill ran 1 5/8 of a mile. The improper fraction for 1 5/8 is (8 * 1 + 5) / 8 = 13/8 mile.
Andy ran 1 3/4 of a mile. The improper fraction for 1 3/4 is (4 * 1 + 3) / 4 = 7/4 mile.
Now we can calculate the difference:
Andy's distance - Bill's distance = 7/4 - 13/8.
To subtract fractions, we need a common denominator. The least common multiple (LCM) of 4 and 8 is 8, so we convert the fractions to have a common denominator of 8.
7/4 * 2/2 = 14/8 mile.
13/8 mile.
Now subtract the fractions:
14/8 - 13/8 = (14 - 13) / 8 = 1/8 mile.
Therefore, Andy ran 1/8 mile farther than Bill.