All ACT Math Resources
Example Question #1 : Infinite Fractions
How many rational numbers are there between 0 and 5?
Rational numbers are written in the form where ; therefore, we can write infinitely many combinations of rational numbers between 0 and 1, e.g. 1/2, 1/3, 1/4, 1/5, 1/6 . . . .
Example Question #1 : How To Find The Amount Of Rational Numbers Between Two Numbers
A flight from Boston to Los Angeles lasts about 6 hours. The time zone difference is such that it is 3 hours later in Boston. If the flight leaves Boston at 8:00 AM, what will be the local time in Los Angeles when the plane arrives?
The plane will land in Los Angeles at 2:00 PM Boston time (8:00 AM + 6 hours = 2:00 PM).
Going west, subtract the time zone difference. Going east, add the time zone difference.
So, 2:00 PM Boston time becomes 11:00 AM local time in Los Angeles (2:00 PM – 3 hours = 11:00 AM).
Example Question #3 : How To Find The Amount Of Rational Numbers Between Two Numbers
How many rational numbers are between 1 and 2?
Two: 1 and 2
The definition of a rational number is an integer or a fraction. We can take the fractions 3/2, 4/3, 5/4, 6/5, 7/6, 8/7,...and continue in this way to realize there are infinitely many rational numbers.