7/10 got to the pool by car, 1/5 took the bus, and 1/6 walked. how many more came by car than on foot? How many fewer came by foot?
more by car than foot = 7/10 - 1/6 =
"How many fewer came by foot? "
= 1 - 7/10 - 1/5
=
assuming they came by one of those 3 ways.
Something is sightly off mathematically
7/10 + 1/5 + 1/6 > 1
some must have arrived by more than one method.
(insufficient data or bogus question)
To find out how many more came by car than on foot, we need to determine the fractions of people who came by car and on foot separately, and then subtract the fraction of people who came on foot from the fraction who came by car.
Let's start by adding up the fractions for those who came by car, by bus, and on foot:
7/10 (came by car) + 1/5 (took the bus) + 1/6 (walked)
To simplify the calculation, we need to find a common denominator for the fractions. In this case, the least common denominator (LCD) is 30.
Now, let's convert each fraction to have a denominator of 30:
(7/10) * (3/3) = 21/30
(1/5) * (6/6) = 6/30
(1/6) * (5/5) = 5/30
Next, we can add up the fractions:
21/30 + 6/30 + 5/30 = 32/30
Notice that the result is improper - the numerator is greater than the denominator. We can simplify it by dividing both the numerator and denominator by their greatest common divisor, which in this case is 2:
(32/2) / (30/2) = 16/15
So, the total fraction for those who came by car is 16/15.
To find out how many more came by car than on foot, we subtract the fraction for those who came on foot (1/6) from the fraction for those who came by car (16/15):
(16/15) - (1/6)
Again, let's convert both fractions to have a common denominator of 30:
(16/15) * (2/2) = 32/30
(1/6) * (5/5) = 5/30
Now, we can subtract the fractions:
32/30 - 5/30 = 27/30
So, the fraction that represents the difference between those who came by car and on foot is 27/30.
To determine how many fewer came by foot, we need to subtract the fraction representing the difference from 1 (since 1 represents the whole or a fraction of 1 is equivalent to the total):
1 - 27/30
Again, let's convert both fractions to have a common denominator of 30:
27/30 * (1/1) = 27/30
Now, we can subtract the fractions:
1 - 27/30 = 1/30
So, the fraction that represents how many fewer came by foot is 1/30.