| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.43 |
| Score | 0% | 69% |
What is \( \frac{9}{2} \) + \( \frac{5}{8} \)?
| 1 \( \frac{3}{12} \) | |
| 5\(\frac{1}{8}\) | |
| 1 \( \frac{1}{8} \) | |
| \( \frac{2}{8} \) |
To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 2 are [2, 4, 6, 8, 10, 12, 14, 16, 18, 20] and the first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80]. The first few multiples they share are [8, 16, 24, 32, 40] making 8 the smallest multiple 2 and 8 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{9 x 4}{2 x 4} \) + \( \frac{5 x 1}{8 x 1} \)
\( \frac{36}{8} \) + \( \frac{5}{8} \)
Now, because the fractions share a common denominator, you can add them:
\( \frac{36 + 5}{8} \) = \( \frac{41}{8} \) = 5\(\frac{1}{8}\)
What is \( \frac{9}{2} \) - \( \frac{9}{6} \)?
| \( \frac{9}{15} \) | |
| \( \frac{2}{8} \) | |
| 3 | |
| 1 \( \frac{2}{6} \) |
To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 2 are [2, 4, 6, 8, 10, 12, 14, 16, 18, 20] and the first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60]. The first few multiples they share are [6, 12, 18, 24, 30] making 6 the smallest multiple 2 and 6 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{9 x 3}{2 x 3} \) - \( \frac{9 x 1}{6 x 1} \)
\( \frac{27}{6} \) - \( \frac{9}{6} \)
Now, because the fractions share a common denominator, you can subtract them:
\( \frac{27 - 9}{6} \) = \( \frac{18}{6} \) = 3
Which of the following is not an integer?
-1 |
|
\({1 \over 2}\) |
|
0 |
|
1 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
What is \( \frac{1}{5} \) ÷ \( \frac{4}{8} \)?
| \(\frac{2}{5}\) | |
| \(\frac{2}{9}\) | |
| \(\frac{2}{21}\) | |
| \(\frac{2}{15}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{1}{5} \) ÷ \( \frac{4}{8} \) = \( \frac{1}{5} \) x \( \frac{8}{4} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{1}{5} \) x \( \frac{8}{4} \) = \( \frac{1 x 8}{5 x 4} \) = \( \frac{8}{20} \) = \(\frac{2}{5}\)
Simplify \( \frac{28}{68} \).
| \( \frac{5}{14} \) | |
| \( \frac{7}{17} \) | |
| \( \frac{1}{3} \) | |
| \( \frac{4}{15} \) |
To simplify this fraction, first find the greatest common factor between them. The factors of 28 are [1, 2, 4, 7, 14, 28] and the factors of 68 are [1, 2, 4, 17, 34, 68]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).
Next, divide both numerator and denominator by the GCF:
\( \frac{28}{68} \) = \( \frac{\frac{28}{4}}{\frac{68}{4}} \) = \( \frac{7}{17} \)