Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):

3 + (5 + 5) ÷ 4 x 2 - 5²
P: 3 + (10) ÷ 4 x 2 - 5²
E: 3 + 10 ÷ 4 x 2 - 25
MD: 3 + \( \frac{10}{4} \) x 2 - 25
MD: 3 + \( \frac{20}{4} \) - 25
AS: \( \frac{12}{4} \) + \( \frac{20}{4} \) - 25
AS: \( \frac{32}{4} \) - 25
AS: \( \frac{32 - 100}{4} \)
\( \frac{-68}{4} \)
-17

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.

A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.

A ratio of 2:1 means that there are 2 home fans for every one visiting fan. So, of every 3 fans, 2 are home fans and \( \frac{2}{3} \) of every fan in the stadium is a home fan:

33,000 fans x \( \frac{2}{3} \) = \( \frac{66000}{3} \) = 22,000 fans.

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:

\( \sqrt{\frac{81}{64}} \)
\( \frac{\sqrt{81}}{\sqrt{64}} \)
\( \frac{\sqrt{9^2}}{\sqrt{8^2}} \)
\( \frac{9}{8} \)
1\(\frac{1}{8}\)