| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.39 |
| Score | 0% | 68% |
What is the least common multiple of 6 and 8?
| 4 | |
| 3 | |
| 24 | |
| 16 |
The first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60] and the first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80]. The first few multiples they share are [24, 48, 72, 96] making 24 the smallest multiple 6 and 8 have in common.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 40% off." If Bob buys two shirts, each with a regular price of $15, how much will he pay for both shirts?
| $6.00 | |
| $16.50 | |
| $24.00 | |
| $21.00 |
By buying two shirts, Bob will save $15 x \( \frac{40}{100} \) = \( \frac{$15 x 40}{100} \) = \( \frac{$600}{100} \) = $6.00 on the second shirt.
So, his total cost will be
$15.00 + ($15.00 - $6.00)
$15.00 + $9.00
$24.00
What is \( \frac{2}{2} \) + \( \frac{8}{6} \)?
| 2 \( \frac{7}{12} \) | |
| 2\(\frac{1}{3}\) | |
| \( \frac{1}{6} \) | |
| 2 \( \frac{9}{6} \) |
To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 2 are [2, 4, 6, 8, 10, 12, 14, 16, 18, 20] and the first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60]. The first few multiples they share are [6, 12, 18, 24, 30] making 6 the smallest multiple 2 and 6 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{2 x 3}{2 x 3} \) + \( \frac{8 x 1}{6 x 1} \)
\( \frac{6}{6} \) + \( \frac{8}{6} \)
Now, because the fractions share a common denominator, you can add them:
\( \frac{6 + 8}{6} \) = \( \frac{14}{6} \) = 2\(\frac{1}{3}\)
Which of the following is not an integer?
1 |
|
0 |
|
\({1 \over 2}\) |
|
-1 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
What is \( \frac{2}{8} \) x \( \frac{3}{7} \)?
| \(\frac{3}{28}\) | |
| \(\frac{2}{15}\) | |
| \(\frac{2}{27}\) | |
| \(\frac{2}{63}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{8} \) x \( \frac{3}{7} \) = \( \frac{2 x 3}{8 x 7} \) = \( \frac{6}{56} \) = \(\frac{3}{28}\)