| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.26 |
| Score | 0% | 65% |
What is \( \frac{2}{7} \) x \( \frac{4}{7} \)?
| \(\frac{1}{14}\) | |
| \(\frac{3}{10}\) | |
| 1\(\frac{1}{7}\) | |
| \(\frac{8}{49}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{7} \) x \( \frac{4}{7} \) = \( \frac{2 x 4}{7 x 7} \) = \( \frac{8}{49} \) = \(\frac{8}{49}\)
The __________ is the smallest positive integer that is a multiple of two or more integers.
least common factor |
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greatest common factor |
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least common multiple |
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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 5:1 and all 30,000 seats in a stadium are filled, how many home fans are in attendance?
| 40,833 | |
| 26,667 | |
| 25,000 | |
| 32,250 |
A ratio of 5:1 means that there are 5 home fans for every one visiting fan. So, of every 6 fans, 5 are home fans and \( \frac{5}{6} \) of every fan in the stadium is a home fan:
30,000 fans x \( \frac{5}{6} \) = \( \frac{150000}{6} \) = 25,000 fans.
Find the average of the following numbers: 13, 7, 11, 9.
| 11 | |
| 10 | |
| 12 | |
| 6 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{13 + 7 + 11 + 9}{4} \) = \( \frac{40}{4} \) = 10
a(b + c) = ab + ac defines which of the following?
commutative property for multiplication |
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distributive property for division |
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distributive property for multiplication |
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commutative property for division |
The distributive property for multiplication helps in solving expressions like a(b + c). It specifies that the result of multiplying one number by the sum or difference of two numbers can be obtained by multiplying each number individually and then totaling the results: a(b + c) = ab + ac. For example, 4(10-5) = (4 x 10) - (4 x 5) = 40 - 20 = 20.