| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.56 |
| Score | 0% | 71% |
The __________ is the greatest factor that divides two integers.
greatest common factor |
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least common multiple |
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absolute value |
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greatest common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.
Which of the following is a mixed number?
\({7 \over 5} \) |
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\({a \over 5} \) |
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\(1 {2 \over 5} \) |
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\({5 \over 7} \) |
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.
Which of the following is an improper fraction?
\({2 \over 5} \) |
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\({7 \over 5} \) |
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\({a \over 5} \) |
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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 menswear store is having a sale: "Buy one shirt at full price and get another shirt for 45% off." If Alex buys two shirts, each with a regular price of $50, how much money will he save?
| $17.50 | |
| $22.50 | |
| $15.00 | |
| $25.00 |
By buying two shirts, Alex will save $50 x \( \frac{45}{100} \) = \( \frac{$50 x 45}{100} \) = \( \frac{$2250}{100} \) = $22.50 on the second shirt.
Solve for \( \frac{3!}{5!} \)
| 3024 | |
| 6720 | |
| \( \frac{1}{20} \) | |
| \( \frac{1}{840} \) |
A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:
\( \frac{3!}{5!} \)
\( \frac{3 \times 2 \times 1}{5 \times 4 \times 3 \times 2 \times 1} \)
\( \frac{1}{5 \times 4} \)
\( \frac{1}{20} \)