To divide fractions, invert the second fraction and then multiply:

\( \frac{4}{8} \) ÷ \( \frac{2}{7} \) = \( \frac{4}{8} \) x \( \frac{7}{2} \)

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{4}{8} \) x \( \frac{7}{2} \) = \( \frac{4 x 7}{8 x 2} \) = \( \frac{28}{16} \) = 1\(\frac{3}{4}\)

To multiply terms with radicals, multiply the coefficients and radicands separately:

3\( \sqrt{2} \) x 3\( \sqrt{9} \)
(3 x 3)\( \sqrt{2 \times 9} \)
9\( \sqrt{18} \)

Now we need to simplify the radical:

9\( \sqrt{18} \)
9\( \sqrt{2 \times 9} \)
9\( \sqrt{2 \times 3^2} \)
(9)(3)\( \sqrt{2} \)
27\( \sqrt{2} \)

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 raise a term with an exponent to another exponent, retain the base and multiply the exponents:

guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 10 x \( \frac{65}{100} \) = \( \frac{65 x 10}{100} \) = \( \frac{650}{100} \) = 6 shots

The center makes 45% of his shots so he'll have to take:

shots made = shots taken x \( \frac{\text{% made}}{100} \)
shots taken = \( \frac{\text{shots taken}}{\frac{\text{% made}}{100}} \)

to make as many shots as the guard. Plugging in values for the center gives us:

center shots taken = \( \frac{6}{\frac{45}{100}} \) = 6 x \( \frac{100}{45} \) = \( \frac{6 x 100}{45} \) = \( \frac{600}{45} \) = 13 shots

to make the same number of shots as the guard and thus score the same number of points.