| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.26 |
| Score | 0% | 65% |
Simplify \( \frac{24}{72} \).
| \( \frac{3}{8} \) | |
| \( \frac{8}{19} \) | |
| \( \frac{10}{19} \) | |
| \( \frac{1}{3} \) |
To simplify this fraction, first find the greatest common factor between them. The factors of 24 are [1, 2, 3, 4, 6, 8, 12, 24] and the factors of 72 are [1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72]. They share 8 factors [1, 2, 3, 4, 6, 8, 12, 24] making 24 their greatest common factor (GCF).
Next, divide both numerator and denominator by the GCF:
\( \frac{24}{72} \) = \( \frac{\frac{24}{24}}{\frac{72}{24}} \) = \( \frac{1}{3} \)
| 1 | |
| 9.0 | |
| 0.8 | |
| 3.2 |
1
What is \( 3 \)\( \sqrt{12} \) - \( 8 \)\( \sqrt{3} \)
| -5\( \sqrt{36} \) | |
| -2\( \sqrt{3} \) | |
| 24\( \sqrt{36} \) | |
| 24\( \sqrt{3} \) |
To subtract these radicals together their radicands must be the same:
3\( \sqrt{12} \) - 8\( \sqrt{3} \)
3\( \sqrt{4 \times 3} \) - 8\( \sqrt{3} \)
3\( \sqrt{2^2 \times 3} \) - 8\( \sqrt{3} \)
(3)(2)\( \sqrt{3} \) - 8\( \sqrt{3} \)
6\( \sqrt{3} \) - 8\( \sqrt{3} \)
Now that the radicands are identical, you can subtract them:
6\( \sqrt{3} \) - 8\( \sqrt{3} \)Which of the following is a mixed number?
\({7 \over 5} \) |
|
\({5 \over 7} \) |
|
\(1 {2 \over 5} \) |
|
\({a \over 5} \) |
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 20% off." If Ezra buys two shirts, each with a regular price of $33, how much money will he save?
| $6.60 | |
| $16.50 | |
| $1.65 | |
| $3.30 |
By buying two shirts, Ezra will save $33 x \( \frac{20}{100} \) = \( \frac{$33 x 20}{100} \) = \( \frac{$660}{100} \) = $6.60 on the second shirt.