| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.46 |
| Score | 0% | 69% |
Simplify \( \frac{24}{72} \).
| \( \frac{1}{3} \) | |
| \( \frac{6}{13} \) | |
| \( \frac{5}{11} \) | |
| \( \frac{10}{13} \) |
To simplify this fraction, first find the greatest common factor between them. The factors of 24 are [1, 2, 3, 4, 6, 8, 12, 24] and the factors of 72 are [1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72]. They share 8 factors [1, 2, 3, 4, 6, 8, 12, 24] making 24 their greatest common factor (GCF).
Next, divide both numerator and denominator by the GCF:
\( \frac{24}{72} \) = \( \frac{\frac{24}{24}}{\frac{72}{24}} \) = \( \frac{1}{3} \)
What is \( \frac{4}{8} \) x \( \frac{4}{8} \)?
| \(\frac{2}{15}\) | |
| 2 | |
| \(\frac{3}{40}\) | |
| \(\frac{1}{4}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{4}{8} \) x \( \frac{4}{8} \) = \( \frac{4 x 4}{8 x 8} \) = \( \frac{16}{64} \) = \(\frac{1}{4}\)
Monty loaned Betty $500 at an annual interest rate of 2%. If no payments are made, what is the total amount owed at the end of the first year?
| $540 | |
| $515 | |
| $510 | |
| $520 |
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 $500
i = 0.02 x $500
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $500 + $10Find the average of the following numbers: 10, 2, 9, 3.
| 1 | |
| 7 | |
| 10 | |
| 6 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{10 + 2 + 9 + 3}{4} \) = \( \frac{24}{4} \) = 6
If the ratio of home fans to visiting fans in a crowd is 2:1 and all 47,000 seats in a stadium are filled, how many home fans are in attendance?
| 31,333 | |
| 32,667 | |
| 23,333 | |
| 24,000 |
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:
47,000 fans x \( \frac{2}{3} \) = \( \frac{94000}{3} \) = 31,333 fans.