| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.64 |
| Score | 0% | 73% |
A bread recipe calls for 2\(\frac{1}{8}\) cups of flour. If you only have \(\frac{5}{8}\) cup, how much more flour is needed?
| 1\(\frac{7}{8}\) cups | |
| 2\(\frac{1}{8}\) cups | |
| 1\(\frac{3}{8}\) cups | |
| 1\(\frac{1}{2}\) cups |
The amount of flour you need is (2\(\frac{1}{8}\) - \(\frac{5}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{17}{8} \) - \( \frac{5}{8} \)) cups
\( \frac{12}{8} \) cups
1\(\frac{1}{2}\) cups
Which of the following is an improper fraction?
\({a \over 5} \) |
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\({2 \over 5} \) |
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\({7 \over 5} \) |
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\(1 {2 \over 5} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.
A factor is a positive __________ that divides evenly into a given number.
improper fraction |
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integer |
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fraction |
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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.
How many hours does it take a car to travel 160 miles at an average speed of 40 miles per hour?
| 9 hours | |
| 7 hours | |
| 5 hours | |
| 4 hours |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{160mi}{40mph} \)
4 hours
A triathlon course includes a 400m swim, a 20.7km bike ride, and a 17.200000000000003km run. What is the total length of the race course?
| 38.3km | |
| 53km | |
| 57km | |
| 33.5km |
To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 400 meters to kilometers, divide the distance by 1000 to get 0.4km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.4km + 20.7km + 17.200000000000003km
total distance = 38.3km