| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.98 |
| Score | 0% | 60% |
If the ratio of home fans to visiting fans in a crowd is 4:1 and all 40,000 seats in a stadium are filled, how many home fans are in attendance?
| 31,333 | |
| 23,333 | |
| 32,000 | |
| 30,667 |
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:
40,000 fans x \( \frac{4}{5} \) = \( \frac{160000}{5} \) = 32,000 fans.
What is \( \frac{3}{8} \) ÷ \( \frac{4}{5} \)?
| \(\frac{15}{32}\) | |
| \(\frac{2}{9}\) | |
| \(\frac{3}{40}\) | |
| \(\frac{4}{81}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{3}{8} \) ÷ \( \frac{4}{5} \) = \( \frac{3}{8} \) x \( \frac{5}{4} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{3}{8} \) x \( \frac{5}{4} \) = \( \frac{3 x 5}{8 x 4} \) = \( \frac{15}{32} \) = \(\frac{15}{32}\)
| 4.9 | |
| 1.4 | |
| 1 | |
| 0.9 |
1
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
commutative |
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associative |
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PEDMAS |
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distributive |
The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.
Which of the following is not a prime number?
2 |
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9 |
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7 |
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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.