| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.54 |
| Score | 0% | 71% |
Simplify \( \frac{24}{72} \).
| \( \frac{1}{3} \) | |
| \( \frac{1}{2} \) | |
| \( \frac{7}{20} \) | |
| \( \frac{5}{17} \) |
To simplify this fraction, first find the greatest common factor between them. The factors of 24 are [1, 2, 3, 4, 6, 8, 12, 24] and the factors of 72 are [1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72]. They share 8 factors [1, 2, 3, 4, 6, 8, 12, 24] making 24 their greatest common factor (GCF).
Next, divide both numerator and denominator by the GCF:
\( \frac{24}{72} \) = \( \frac{\frac{24}{24}}{\frac{72}{24}} \) = \( \frac{1}{3} \)
A bread recipe calls for 3\(\frac{1}{4}\) cups of flour. If you only have \(\frac{1}{8}\) cup, how much more flour is needed?
| \(\frac{3}{4}\) cups | |
| 2\(\frac{7}{8}\) cups | |
| 1\(\frac{3}{8}\) cups | |
| 3\(\frac{1}{8}\) cups |
The amount of flour you need is (3\(\frac{1}{4}\) - \(\frac{1}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{26}{8} \) - \( \frac{1}{8} \)) cups
\( \frac{25}{8} \) cups
3\(\frac{1}{8}\) cups
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 5% off." If Monty buys two shirts, each with a regular price of $36, how much will he pay for both shirts?
| $34.20 | |
| $70.20 | |
| $54.00 | |
| $1.80 |
By buying two shirts, Monty will save $36 x \( \frac{5}{100} \) = \( \frac{$36 x 5}{100} \) = \( \frac{$180}{100} \) = $1.80 on the second shirt.
So, his total cost will be
$36.00 + ($36.00 - $1.80)
$36.00 + $34.20
$70.20
If a car travels 540 miles in 9 hours, what is the average speed?
| 65 mph | |
| 60 mph | |
| 20 mph | |
| 40 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)What is the least common multiple of 2 and 8?
| 8 | |
| 12 | |
| 14 | |
| 10 |
The first few multiples of 2 are [2, 4, 6, 8, 10, 12, 14, 16, 18, 20] 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 [8, 16, 24, 32, 40] making 8 the smallest multiple 2 and 8 have in common.