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:

\( \sqrt{\frac{64}{9}} \)
\( \frac{\sqrt{64}}{\sqrt{9}} \)
\( \frac{\sqrt{8^2}}{\sqrt{3^2}} \)
\( \frac{8}{3} \)
2\(\frac{2}{3}\)

To find the average of these 4 numbers add them together then divide by 4:

\( \frac{9 + 5 + 8 + 6}{4} \) = \( \frac{28}{4} \) = 7

The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:

interest = annual interest rate x loan amount

i = (\( \frac{6}{100} \)) x $400
i = 0.01 x $400
i = $4

Diane scored 88% on the test meaning she earned 88% of the possible points on the test. There were 360 possible points on the test so she earned 360 x 0.88 = 316 points. Each question is worth 4 points so she got \( \frac{316}{4} \) = 79 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.