| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.65 |
| Score | 0% | 73% |
Which of the following is an improper fraction?
\(1 {2 \over 5} \) |
|
\({2 \over 5} \) |
|
\({7 \over 5} \) |
|
\({a \over 5} \) |
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.
Convert b-3 to remove the negative exponent.
| \( \frac{-1}{-3b} \) | |
| \( \frac{-1}{b^{-3}} \) | |
| \( \frac{-3}{-b} \) | |
| \( \frac{1}{b^3} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
Ezra loaned Ezra $1,000 at an annual interest rate of 9%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $98 | |
| $90 | |
| $24 | |
| $108 |
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 = 0.09 x $1,000
i = $90
What is \( \frac{2}{6} \) ÷ \( \frac{4}{8} \)?
| 2\(\frac{2}{3}\) | |
| \(\frac{8}{49}\) | |
| 4 | |
| \(\frac{2}{3}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{2}{6} \) ÷ \( \frac{4}{8} \) = \( \frac{2}{6} \) x \( \frac{8}{4} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{6} \) x \( \frac{8}{4} \) = \( \frac{2 x 8}{6 x 4} \) = \( \frac{16}{24} \) = \(\frac{2}{3}\)
If a car travels 120 miles in 4 hours, what is the average speed?
| 30 mph | |
| 20 mph | |
| 25 mph | |
| 65 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)