| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.35 |
| Score | 0% | 67% |
What is \( \frac{1}{9} \) ÷ \( \frac{1}{8} \)?
| \(\frac{1}{7}\) | |
| 8 | |
| \(\frac{1}{10}\) | |
| \(\frac{8}{9}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{1}{9} \) ÷ \( \frac{1}{8} \) = \( \frac{1}{9} \) x \( \frac{8}{1} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{1}{9} \) x \( \frac{8}{1} \) = \( \frac{1 x 8}{9 x 1} \) = \( \frac{8}{9} \) = \(\frac{8}{9}\)
If a mayor is elected with 82% of the votes cast and 42% of a town's 50,000 voters cast a vote, how many votes did the mayor receive?
| 11,340 | |
| 18,690 | |
| 17,220 | |
| 18,270 |
If 42% of the town's 50,000 voters cast ballots the number of votes cast is:
(\( \frac{42}{100} \)) x 50,000 = \( \frac{2,100,000}{100} \) = 21,000
The mayor got 82% of the votes cast which is:
(\( \frac{82}{100} \)) x 21,000 = \( \frac{1,722,000}{100} \) = 17,220 votes.
How many 1\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 15 gallon tank to fill it exactly halfway?
| 5 | |
| 5 | |
| 4 | |
| 9 |
To fill a 15 gallon tank exactly halfway you'll need 7\(\frac{1}{2}\) gallons of fuel. Each fuel can holds 1\(\frac{1}{2}\) gallons so:
cans = \( \frac{7\frac{1}{2} \text{ gallons}}{1\frac{1}{2} \text{ gallons}} \) = 5
A factor is a positive __________ that divides evenly into a given number.
fraction |
|
integer |
|
improper fraction |
|
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.
If a car travels 150 miles in 3 hours, what is the average speed?
| 25 mph | |
| 50 mph | |
| 75 mph | |
| 45 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)