To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:

\( \sqrt{\frac{64}{4}} \)
\( \frac{\sqrt{64}}{\sqrt{4}} \)
\( \frac{\sqrt{8^2}}{\sqrt{2^2}} \)
\( \frac{8}{2} \)
4

Christine scored 93% on the test meaning she earned 93% of the possible points on the test. There were 80 possible points on the test so she earned 80 x 0.93 = 74 points. Each question is worth 2 points so she got \( \frac{74}{2} \) = 37 questions right.

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.

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 = \( \frac{540mi}{60mph} \)
9 hours

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