| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.24 |
| Score | 0% | 65% |
The __________ is the smallest positive integer that is a multiple of two or more integers.
least common factor |
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least common multiple |
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greatest common factor |
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absolute value |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
If the ratio of home fans to visiting fans in a crowd is 4:1 and all 41,000 seats in a stadium are filled, how many home fans are in attendance?
| 32,800 | |
| 36,750 | |
| 40,000 | |
| 35,250 |
A ratio of 4:1 means that there are 4 home fans for every one visiting fan. So, of every 5 fans, 4 are home fans and \( \frac{4}{5} \) of every fan in the stadium is a home fan:
41,000 fans x \( \frac{4}{5} \) = \( \frac{164000}{5} \) = 32,800 fans.
Which of the following is not a prime number?
5 |
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2 |
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7 |
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9 |
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.
Simplify \( \frac{32}{68} \).
| \( \frac{6}{11} \) | |
| \( \frac{8}{17} \) | |
| \( \frac{2}{9} \) | |
| \( \frac{5}{12} \) |
To simplify this fraction, first find the greatest common factor between them. The factors of 32 are [1, 2, 4, 8, 16, 32] and the factors of 68 are [1, 2, 4, 17, 34, 68]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).
Next, divide both numerator and denominator by the GCF:
\( \frac{32}{68} \) = \( \frac{\frac{32}{4}}{\frac{68}{4}} \) = \( \frac{8}{17} \)
8 members of a bridal party need transported to a wedding reception but there are only 2 3-passenger taxis available to take them. How many will need to find other transportation?
| 3 | |
| 2 | |
| 1 | |
| 5 |
There are 2 3-passenger taxis available so that's 2 x 3 = 6 total seats. There are 8 people needing transportation leaving 8 - 6 = 2 who will have to find other transportation.