| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.30 |
| Score | 0% | 66% |
Which of the following is a mixed number?
\(1 {2 \over 5} \) |
|
\({7 \over 5} \) |
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\({5 \over 7} \) |
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\({a \over 5} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.
What is the least common multiple of 2 and 10?
| 1 | |
| 10 | |
| 3 | |
| 12 |
The first few multiples of 2 are [2, 4, 6, 8, 10, 12, 14, 16, 18, 20] and the first few multiples of 10 are [10, 20, 30, 40, 50, 60, 70, 80, 90]. The first few multiples they share are [10, 20, 30, 40, 50] making 10 the smallest multiple 2 and 10 have in common.
If the ratio of home fans to visiting fans in a crowd is 3:1 and all 40,000 seats in a stadium are filled, how many home fans are in attendance?
| 33,750 | |
| 39,167 | |
| 30,000 | |
| 26,250 |
A ratio of 3:1 means that there are 3 home fans for every one visiting fan. So, of every 4 fans, 3 are home fans and \( \frac{3}{4} \) of every fan in the stadium is a home fan:
40,000 fans x \( \frac{3}{4} \) = \( \frac{120000}{4} \) = 30,000 fans.
| 2.4 | |
| 0.9 | |
| 2.8 | |
| 1 |
1
The __________ is the greatest factor that divides two integers.
greatest common factor |
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absolute value |
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least common multiple |
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greatest common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.