| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.42 |
| Score | 0% | 68% |
Simplify \( \frac{16}{76} \).
| \( \frac{4}{19} \) | |
| \( \frac{7}{17} \) | |
| \( \frac{9}{17} \) | |
| \( \frac{8}{17} \) |
To simplify this fraction, first find the greatest common factor between them. The factors of 16 are [1, 2, 4, 8, 16] and the factors of 76 are [1, 2, 4, 19, 38, 76]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).
Next, divide both numerator and denominator by the GCF:
\( \frac{16}{76} \) = \( \frac{\frac{16}{4}}{\frac{76}{4}} \) = \( \frac{4}{19} \)
If a car travels 300 miles in 5 hours, what is the average speed?
| 45 mph | |
| 40 mph | |
| 60 mph | |
| 15 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Convert 0.0001778 to scientific notation.
| 1.778 x 10-3 | |
| 1.778 x 104 | |
| 1.778 x 10-4 | |
| 17.78 x 10-5 |
A number in scientific notation has the format 0.000 x 10exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:
0.0001778 in scientific notation is 1.778 x 10-4
| 1.8 | |
| 2.4 | |
| 1 | |
| 2.8 |
1
A bread recipe calls for 3 cups of flour. If you only have \(\frac{3}{4}\) cup, how much more flour is needed?
| 2\(\frac{7}{8}\) cups | |
| 2\(\frac{1}{4}\) cups | |
| 3\(\frac{1}{2}\) cups | |
| 1\(\frac{5}{8}\) cups |
The amount of flour you need is (3 - \(\frac{3}{4}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{24}{8} \) - \( \frac{6}{8} \)) cups
\( \frac{18}{8} \) cups
2\(\frac{1}{4}\) cups