| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.69 |
| Score | 0% | 74% |
The __________ is the smallest positive integer that is a multiple of two or more integers.
greatest common factor |
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absolute value |
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least common multiple |
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least common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
If a car travels 55 miles in 1 hour, what is the average speed?
| 15 mph | |
| 50 mph | |
| 35 mph | |
| 55 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)How many 11-passenger vans will it take to drive all 52 members of the football team to an away game?
| 13 vans | |
| 9 vans | |
| 6 vans | |
| 5 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{52}{11} \) = 4\(\frac{8}{11}\)
So, it will take 4 full vans and one partially full van to transport the entire team making a total of 5 vans.
What is the greatest common factor of 48 and 60?
| 12 | |
| 3 | |
| 17 | |
| 41 |
The factors of 48 are [1, 2, 3, 4, 6, 8, 12, 16, 24, 48] and the factors of 60 are [1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60]. They share 6 factors [1, 2, 3, 4, 6, 12] making 12 the greatest factor 48 and 60 have in common.
What is \( \frac{1}{9} \) x \( \frac{1}{7} \)?
| \(\frac{1}{9}\) | |
| \(\frac{4}{27}\) | |
| \(\frac{1}{15}\) | |
| \(\frac{1}{63}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{1}{9} \) x \( \frac{1}{7} \) = \( \frac{1 x 1}{9 x 7} \) = \( \frac{1}{63} \) = \(\frac{1}{63}\)