| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.61 |
| Score | 0% | 72% |
What is \( \frac{4}{9} \) ÷ \( \frac{2}{6} \)?
| \(\frac{3}{14}\) | |
| 2\(\frac{2}{3}\) | |
| 1\(\frac{1}{3}\) | |
| \(\frac{2}{9}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{4}{9} \) ÷ \( \frac{2}{6} \) = \( \frac{4}{9} \) x \( \frac{6}{2} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{4}{9} \) x \( \frac{6}{2} \) = \( \frac{4 x 6}{9 x 2} \) = \( \frac{24}{18} \) = 1\(\frac{1}{3}\)
What is the least common multiple of 3 and 9?
| 9 | |
| 25 | |
| 15 | |
| 12 |
The first few multiples of 3 are [3, 6, 9, 12, 15, 18, 21, 24, 27, 30] and the first few multiples of 9 are [9, 18, 27, 36, 45, 54, 63, 72, 81, 90]. The first few multiples they share are [9, 18, 27, 36, 45] making 9 the smallest multiple 3 and 9 have in common.
What is (b5)3?
| b15 | |
| b2 | |
| 5b3 | |
| b8 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(b5)3A factor is a positive __________ that divides evenly into a given number.
fraction |
|
improper fraction |
|
integer |
|
mixed number |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
In a class of 24 students, 9 are taking German and 14 are taking Spanish. Of the students studying German or Spanish, 4 are taking both courses. How many students are not enrolled in either course?
| 11 | |
| 5 | |
| 19 | |
| 24 |
The number of students taking German or Spanish is 9 + 14 = 23. Of that group of 23, 4 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 23 - 4 = 19 who are taking at least one language. 24 - 19 = 5 students who are not taking either language.