| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.16 |
| Score | 0% | 63% |
What is \( \frac{3}{9} \) x \( \frac{4}{6} \)?
| \(\frac{8}{25}\) | |
| \(\frac{2}{9}\) | |
| \(\frac{2}{15}\) | |
| 1\(\frac{1}{3}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{3}{9} \) x \( \frac{4}{6} \) = \( \frac{3 x 4}{9 x 6} \) = \( \frac{12}{54} \) = \(\frac{2}{9}\)
A bread recipe calls for 1\(\frac{7}{8}\) cups of flour. If you only have 1\(\frac{3}{4}\) cups, how much more flour is needed?
| 1\(\frac{5}{8}\) cups | |
| 1\(\frac{3}{8}\) cups | |
| \(\frac{1}{8}\) cups | |
| 3\(\frac{1}{8}\) cups |
The amount of flour you need is (1\(\frac{7}{8}\) - 1\(\frac{3}{4}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{15}{8} \) - \( \frac{14}{8} \)) cups
\( \frac{1}{8} \) cups
\(\frac{1}{8}\) cups
The __________ is the greatest factor that divides two integers.
greatest common factor |
|
absolute value |
|
least common multiple |
|
greatest common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.
| 1 | |
| 6.3 | |
| 4.2 | |
| 5.4 |
1
What is \( \frac{3}{6} \) + \( \frac{2}{12} \)?
| 2 \( \frac{4}{12} \) | |
| 1 \( \frac{2}{12} \) | |
| \(\frac{2}{3}\) | |
| \( \frac{3}{12} \) |
To add 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 12 are [12, 24, 36, 48, 60, 72, 84, 96]. The first few multiples they share are [12, 24, 36, 48, 60] making 12 the smallest multiple 6 and 12 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{3 x 2}{6 x 2} \) + \( \frac{2 x 1}{12 x 1} \)
\( \frac{6}{12} \) + \( \frac{2}{12} \)
Now, because the fractions share a common denominator, you can add them:
\( \frac{6 + 2}{12} \) = \( \frac{8}{12} \) = \(\frac{2}{3}\)