| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.39 |
| Score | 0% | 68% |
What is \( \frac{1}{6} \) ÷ \( \frac{1}{8} \)?
| \(\frac{2}{35}\) | |
| 1\(\frac{1}{3}\) | |
| \(\frac{1}{20}\) | |
| 8 |
To divide fractions, invert the second fraction and then multiply:
\( \frac{1}{6} \) ÷ \( \frac{1}{8} \) = \( \frac{1}{6} \) x \( \frac{8}{1} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{1}{6} \) x \( \frac{8}{1} \) = \( \frac{1 x 8}{6 x 1} \) = \( \frac{8}{6} \) = 1\(\frac{1}{3}\)
What is \( \frac{4}{6} \) - \( \frac{9}{8} \)?
| -\(\frac{11}{24}\) | |
| 2 \( \frac{4}{24} \) | |
| \( \frac{8}{24} \) | |
| \( \frac{4}{24} \) |
To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60] 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 [24, 48, 72, 96] making 24 the smallest multiple 6 and 8 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{4 x 4}{6 x 4} \) - \( \frac{9 x 3}{8 x 3} \)
\( \frac{16}{24} \) - \( \frac{27}{24} \)
Now, because the fractions share a common denominator, you can subtract them:
\( \frac{16 - 27}{24} \) = \( \frac{-11}{24} \) = -\(\frac{11}{24}\)
What is \( \frac{2}{9} \) x \( \frac{4}{7} \)?
| \(\frac{8}{63}\) | |
| \(\frac{4}{15}\) | |
| 1\(\frac{1}{7}\) | |
| \(\frac{2}{49}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{9} \) x \( \frac{4}{7} \) = \( \frac{2 x 4}{9 x 7} \) = \( \frac{8}{63} \) = \(\frac{8}{63}\)
What is \( \frac{9}{3} \) + \( \frac{6}{11} \)?
| 1 \( \frac{1}{33} \) | |
| 3\(\frac{6}{11}\) | |
| 1 \( \frac{3}{10} \) | |
| 1 \( \frac{7}{13} \) |
To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 3 are [3, 6, 9, 12, 15, 18, 21, 24, 27, 30] and the first few multiples of 11 are [11, 22, 33, 44, 55, 66, 77, 88, 99]. The first few multiples they share are [33, 66, 99] making 33 the smallest multiple 3 and 11 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{9 x 11}{3 x 11} \) + \( \frac{6 x 3}{11 x 3} \)
\( \frac{99}{33} \) + \( \frac{18}{33} \)
Now, because the fractions share a common denominator, you can add them:
\( \frac{99 + 18}{33} \) = \( \frac{117}{33} \) = 3\(\frac{6}{11}\)
Simplify \( \frac{28}{72} \).
| \( \frac{10}{19} \) | |
| \( \frac{2}{5} \) | |
| \( \frac{7}{18} \) | |
| \( \frac{9}{16} \) |
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 72 are [1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).
Next, divide both numerator and denominator by the GCF:
\( \frac{28}{72} \) = \( \frac{\frac{28}{4}}{\frac{72}{4}} \) = \( \frac{7}{18} \)