| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.45 |
| Score | 0% | 69% |
What is \( \frac{2}{7} \) ÷ \( \frac{3}{6} \)?
| \(\frac{1}{12}\) | |
| \(\frac{3}{35}\) | |
| 1\(\frac{5}{7}\) | |
| \(\frac{4}{7}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{2}{7} \) ÷ \( \frac{3}{6} \) = \( \frac{2}{7} \) x \( \frac{6}{3} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{7} \) x \( \frac{6}{3} \) = \( \frac{2 x 6}{7 x 3} \) = \( \frac{12}{21} \) = \(\frac{4}{7}\)
Charlie loaned Christine $500 at an annual interest rate of 8%. If no payments are made, what is the total amount owed at the end of the first year?
| $515 | |
| $520 | |
| $540 | |
| $535 |
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 = 0.08 x $500
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $500 + $40
| 1.4 | |
| 1 | |
| 0.8 | |
| 8.1 |
1
What is \( \frac{2}{8} \) x \( \frac{3}{5} \)?
| \(\frac{2}{15}\) | |
| \(\frac{2}{7}\) | |
| \(\frac{1}{81}\) | |
| \(\frac{3}{20}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{8} \) x \( \frac{3}{5} \) = \( \frac{2 x 3}{8 x 5} \) = \( \frac{6}{40} \) = \(\frac{3}{20}\)
What is (z3)5?
| z15 | |
| 3z5 | |
| 5z3 | |
| z-2 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(z3)5