| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.07 |
| Score | 0% | 61% |
What is \( \frac{1}{5} \) ÷ \( \frac{3}{8} \)?
| \(\frac{6}{35}\) | |
| \(\frac{1}{16}\) | |
| \(\frac{8}{15}\) | |
| 1\(\frac{3}{5}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{1}{5} \) ÷ \( \frac{3}{8} \) = \( \frac{1}{5} \) x \( \frac{8}{3} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{1}{5} \) x \( \frac{8}{3} \) = \( \frac{1 x 8}{5 x 3} \) = \( \frac{8}{15} \) = \(\frac{8}{15}\)
If a mayor is elected with 83% of the votes cast and 34% of a town's 32,000 voters cast a vote, how many votes did the mayor receive?
| 9,030 | |
| 7,616 | |
| 6,202 | |
| 9,683 |
If 34% of the town's 32,000 voters cast ballots the number of votes cast is:
(\( \frac{34}{100} \)) x 32,000 = \( \frac{1,088,000}{100} \) = 10,880
The mayor got 83% of the votes cast which is:
(\( \frac{83}{100} \)) x 10,880 = \( \frac{903,040}{100} \) = 9,030 votes.
What is \( \frac{4}{7} \) x \( \frac{3}{7} \)?
| \(\frac{1}{5}\) | |
| \(\frac{1}{56}\) | |
| \(\frac{1}{21}\) | |
| \(\frac{12}{49}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{4}{7} \) x \( \frac{3}{7} \) = \( \frac{4 x 3}{7 x 7} \) = \( \frac{12}{49} \) = \(\frac{12}{49}\)
Jennifer scored 85% on her final exam. If each question was worth 3 points and there were 120 possible points on the exam, how many questions did Jennifer answer correctly?
| 23 | |
| 34 | |
| 42 | |
| 24 |
Jennifer 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.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 45% off." If Bob buys two shirts, each with a regular price of $48, how much will he pay for both shirts?
| $74.40 | |
| $50.40 | |
| $62.40 | |
| $21.60 |
By buying two shirts, Bob will save $48 x \( \frac{45}{100} \) = \( \frac{$48 x 45}{100} \) = \( \frac{$2160}{100} \) = $21.60 on the second shirt.
So, his total cost will be
$48.00 + ($48.00 - $21.60)
$48.00 + $26.40
$74.40