| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.51 |
| Score | 0% | 70% |
What is \( \frac{4}{6} \) x \( \frac{3}{5} \)?
| \(\frac{1}{10}\) | |
| \(\frac{2}{7}\) | |
| \(\frac{1}{42}\) | |
| \(\frac{2}{5}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{4}{6} \) x \( \frac{3}{5} \) = \( \frac{4 x 3}{6 x 5} \) = \( \frac{12}{30} \) = \(\frac{2}{5}\)
Which of the following is not a prime number?
7 |
|
9 |
|
2 |
|
5 |
A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.
Which of these numbers is a factor of 36?
| 31 | |
| 18 | |
| 9 | |
| 39 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36.
What is \( \frac{7}{3} \) - \( \frac{6}{7} \)?
| 2 \( \frac{9}{18} \) | |
| 2 \( \frac{7}{21} \) | |
| 1\(\frac{10}{21}\) | |
| 1 \( \frac{6}{21} \) |
To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 3 are [3, 6, 9, 12, 15, 18, 21, 24, 27, 30] and the first few multiples of 7 are [7, 14, 21, 28, 35, 42, 49, 56, 63, 70]. The first few multiples they share are [21, 42, 63, 84] making 21 the smallest multiple 3 and 7 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{7 x 7}{3 x 7} \) - \( \frac{6 x 3}{7 x 3} \)
\( \frac{49}{21} \) - \( \frac{18}{21} \)
Now, because the fractions share a common denominator, you can subtract them:
\( \frac{49 - 18}{21} \) = \( \frac{31}{21} \) = 1\(\frac{10}{21}\)
If a car travels 300 miles in 4 hours, what is the average speed?
| 40 mph | |
| 50 mph | |
| 75 mph | |
| 60 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)