The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.

To subtract these radicals together their radicands must be the same:

6\( \sqrt{18} \) - 5\( \sqrt{2} \)
6\( \sqrt{9 \times 2} \) - 5\( \sqrt{2} \)
6\( \sqrt{3^2 \times 2} \) - 5\( \sqrt{2} \)
(6)(3)\( \sqrt{2} \) - 5\( \sqrt{2} \)
18\( \sqrt{2} \) - 5\( \sqrt{2} \)

Now that the radicands are identical, you can subtract them:

Average speed in miles per hour is the number of miles traveled divided by the number of hours:

Solving for time:

time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{110mi}{55mph} \)
2 hours

A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.

To fill a 16 gallon tank exactly halfway you'll need 8 gallons of fuel. Each fuel can holds 2 gallons so:

cans = \( \frac{8 \text{ gallons}}{2 \text{ gallons}} \) = 4