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:

45,000 fans x \( \frac{2}{3} \) = \( \frac{90000}{3} \) = 30,000 fans.

The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).

Monica scored 75% on the test meaning she earned 75% of the possible points on the test. There were 80 possible points on the test so she earned 80 x 0.75 = 60 points. Each question is worth 2 points so she got \( \frac{60}{2} \) = 30 questions right.

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

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 $1,000
i = 0.02 x $1,000

No payments were made so the total amount due is the original amount + the accumulated interest: