| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.57 |
| Score | 0% | 71% |
What is \( \frac{4}{5} \) x \( \frac{2}{8} \)?
| \(\frac{4}{45}\) | |
| \(\frac{1}{5}\) | |
| \(\frac{4}{63}\) | |
| \(\frac{16}{63}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{4}{5} \) x \( \frac{2}{8} \) = \( \frac{4 x 2}{5 x 8} \) = \( \frac{8}{40} \) = \(\frac{1}{5}\)
Which of the following is an improper fraction?
\({a \over 5} \) |
|
\({7 \over 5} \) |
|
\({2 \over 5} \) |
|
\(1 {2 \over 5} \) |
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.
How many 8-passenger vans will it take to drive all 76 members of the football team to an away game?
| 5 vans | |
| 10 vans | |
| 7 vans | |
| 11 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{76}{8} \) = 9\(\frac{1}{2}\)
So, it will take 9 full vans and one partially full van to transport the entire team making a total of 10 vans.
What is \( \frac{9}{3} \) - \( \frac{7}{7} \)?
| 2 \( \frac{8}{21} \) | |
| 2 | |
| 2 \( \frac{2}{11} \) | |
| \( \frac{1}{21} \) |
To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 3 are [3, 6, 9, 12, 15, 18, 21, 24, 27, 30] and the first few multiples of 7 are [7, 14, 21, 28, 35, 42, 49, 56, 63, 70]. The first few multiples they share are [21, 42, 63, 84] making 21 the smallest multiple 3 and 7 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{9 x 7}{3 x 7} \) - \( \frac{7 x 3}{7 x 3} \)
\( \frac{63}{21} \) - \( \frac{21}{21} \)
Now, because the fractions share a common denominator, you can subtract them:
\( \frac{63 - 21}{21} \) = \( \frac{42}{21} \) = 2
Find the average of the following numbers: 16, 12, 16, 12.
| 15 | |
| 9 | |
| 14 | |
| 17 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{16 + 12 + 16 + 12}{4} \) = \( \frac{56}{4} \) = 14