| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.77 |
| Score | 0% | 75% |
What is \( \frac{4}{8} \) x \( \frac{2}{7} \)?
| 1 | |
| \(\frac{1}{7}\) | |
| \(\frac{2}{63}\) | |
| \(\frac{3}{56}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{4}{8} \) x \( \frac{2}{7} \) = \( \frac{4 x 2}{8 x 7} \) = \( \frac{8}{56} \) = \(\frac{1}{7}\)
How many hours does it take a car to travel 35 miles at an average speed of 35 miles per hour?
| 9 hours | |
| 2 hours | |
| 1 hour | |
| 8 hours |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{35mi}{35mph} \)
1 hour
Find the average of the following numbers: 9, 7, 11, 5.
| 8 | |
| 9 | |
| 10 | |
| 4 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{9 + 7 + 11 + 5}{4} \) = \( \frac{32}{4} \) = 8
If a car travels 420 miles in 7 hours, what is the average speed?
| 45 mph | |
| 50 mph | |
| 20 mph | |
| 60 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)What is \( \frac{8}{8} \) - \( \frac{2}{10} \)?
| 2 \( \frac{1}{6} \) | |
| \( \frac{2}{9} \) | |
| \(\frac{4}{5}\) | |
| 1 \( \frac{1}{40} \) |
To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80] and the first few multiples of 10 are [10, 20, 30, 40, 50, 60, 70, 80, 90]. The first few multiples they share are [40, 80] making 40 the smallest multiple 8 and 10 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{8 x 5}{8 x 5} \) - \( \frac{2 x 4}{10 x 4} \)
\( \frac{40}{40} \) - \( \frac{8}{40} \)
Now, because the fractions share a common denominator, you can subtract them:
\( \frac{40 - 8}{40} \) = \( \frac{32}{40} \) = \(\frac{4}{5}\)