| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.48 |
| Score | 0% | 70% |
A bread recipe calls for 3\(\frac{3}{8}\) cups of flour. If you only have 1\(\frac{5}{8}\) cups, how much more flour is needed?
| 1\(\frac{3}{8}\) cups | |
| 1\(\frac{1}{4}\) cups | |
| 1\(\frac{3}{4}\) cups | |
| 2\(\frac{1}{4}\) cups |
The amount of flour you need is (3\(\frac{3}{8}\) - 1\(\frac{5}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{27}{8} \) - \( \frac{13}{8} \)) cups
\( \frac{14}{8} \) cups
1\(\frac{3}{4}\) cups
How many hours does it take a car to travel 420 miles at an average speed of 70 miles per hour?
| 2 hours | |
| 8 hours | |
| 6 hours | |
| 3 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 = \( \frac{420mi}{70mph} \)
6 hours
The __________ is the smallest positive integer that is a multiple of two or more integers.
greatest common factor |
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least common multiple |
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absolute value |
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least common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
Which of the following is an improper fraction?
\(1 {2 \over 5} \) |
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\({7 \over 5} \) |
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\({a \over 5} \) |
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\({2 \over 5} \) |
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.
What is the greatest common factor of 72 and 80?
| 8 | |
| 54 | |
| 5 | |
| 40 |
The factors of 72 are [1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72] and the factors of 80 are [1, 2, 4, 5, 8, 10, 16, 20, 40, 80]. They share 4 factors [1, 2, 4, 8] making 8 the greatest factor 72 and 80 have in common.