| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.60 |
| Score | 0% | 72% |
What is \( \frac{3}{8} \) ÷ \( \frac{4}{6} \)?
| \(\frac{9}{16}\) | |
| \(\frac{2}{9}\) | |
| \(\frac{2}{21}\) | |
| \(\frac{4}{9}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{3}{8} \) ÷ \( \frac{4}{6} \) = \( \frac{3}{8} \) x \( \frac{6}{4} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{3}{8} \) x \( \frac{6}{4} \) = \( \frac{3 x 6}{8 x 4} \) = \( \frac{18}{32} \) = \(\frac{9}{16}\)
If a car travels 60 miles in 4 hours, what is the average speed?
| 15 mph | |
| 65 mph | |
| 75 mph | |
| 40 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
associative |
|
commutative |
|
PEDMAS |
|
distributive |
The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 45% off." If Charlie buys two shirts, each with a regular price of $25, how much money will he save?
| $3.75 | |
| $5.00 | |
| $10.00 | |
| $11.25 |
By buying two shirts, Charlie will save $25 x \( \frac{45}{100} \) = \( \frac{$25 x 45}{100} \) = \( \frac{$1125}{100} \) = $11.25 on the second shirt.
What is the greatest common factor of 44 and 68?
| 4 | |
| 1 | |
| 25 | |
| 26 |
The factors of 44 are [1, 2, 4, 11, 22, 44] and the factors of 68 are [1, 2, 4, 17, 34, 68]. They share 3 factors [1, 2, 4] making 4 the greatest factor 44 and 68 have in common.