| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.00 |
| Score | 0% | 60% |
What is \( \frac{4}{5} \) ÷ \( \frac{3}{7} \)?
| \(\frac{1}{3}\) | |
| \(\frac{3}{16}\) | |
| 1\(\frac{13}{15}\) | |
| \(\frac{1}{28}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{4}{5} \) ÷ \( \frac{3}{7} \) = \( \frac{4}{5} \) x \( \frac{7}{3} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{4}{5} \) x \( \frac{7}{3} \) = \( \frac{4 x 7}{5 x 3} \) = \( \frac{28}{15} \) = 1\(\frac{13}{15}\)
The __________ is the smallest positive integer that is a multiple of two or more integers.
least common factor |
|
absolute value |
|
least common multiple |
|
greatest common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
If the ratio of home fans to visiting fans in a crowd is 3:1 and all 43,000 seats in a stadium are filled, how many home fans are in attendance?
| 32,250 | |
| 31,667 | |
| 39,167 | |
| 21,333 |
A ratio of 3:1 means that there are 3 home fans for every one visiting fan. So, of every 4 fans, 3 are home fans and \( \frac{3}{4} \) of every fan in the stadium is a home fan:
43,000 fans x \( \frac{3}{4} \) = \( \frac{129000}{4} \) = 32,250 fans.
| 1 | |
| 3.2 | |
| 5.6 | |
| 5.0 |
1
What is the least common multiple of 4 and 10?
| 20 | |
| 23 | |
| 25 | |
| 24 |
The first few multiples of 4 are [4, 8, 12, 16, 20, 24, 28, 32, 36, 40] and the first few multiples of 10 are [10, 20, 30, 40, 50, 60, 70, 80, 90]. The first few multiples they share are [20, 40, 60, 80] making 20 the smallest multiple 4 and 10 have in common.