April scored 85% on the test meaning she earned 85% of the possible points on the test. There were 120 possible points on the test so she earned 120 x 0.85 = 102 points. Each question is worth 3 points so she got \( \frac{102}{3} \) = 34 questions right.

1

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

\( \frac{2}{5} \) ÷ \( \frac{1}{5} \) = \( \frac{2}{5} \) x \( \frac{5}{1} \)

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

\( \frac{2}{5} \) x \( \frac{5}{1} \) = \( \frac{2 x 5}{5 x 1} \) = \( \frac{10}{5} \) = 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 add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 300 meters to kilometers, divide the distance by 1000 to get 0.3km then add the remaining distances:

total distance = swim + bike + run
total distance = 0.3km + 20.2km + 10.9km
total distance = 31.4km