| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.38 |
| Score | 0% | 68% |
What is \( \frac{2}{9} \) x \( \frac{3}{8} \)?
| \(\frac{2}{15}\) | |
| \(\frac{4}{15}\) | |
| \(\frac{3}{28}\) | |
| \(\frac{1}{12}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{9} \) x \( \frac{3}{8} \) = \( \frac{2 x 3}{9 x 8} \) = \( \frac{6}{72} \) = \(\frac{1}{12}\)
If a mayor is elected with 78% of the votes cast and 32% of a town's 24,000 voters cast a vote, how many votes did the mayor receive?
| 4,378 | |
| 4,685 | |
| 5,683 | |
| 5,990 |
If 32% of the town's 24,000 voters cast ballots the number of votes cast is:
(\( \frac{32}{100} \)) x 24,000 = \( \frac{768,000}{100} \) = 7,680
The mayor got 78% of the votes cast which is:
(\( \frac{78}{100} \)) x 7,680 = \( \frac{599,040}{100} \) = 5,990 votes.
A factor is a positive __________ that divides evenly into a given number.
fraction |
|
mixed number |
|
integer |
|
improper fraction |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
Which of the following is an improper fraction?
\({2 \over 5} \) |
|
\({7 \over 5} \) |
|
\(1 {2 \over 5} \) |
|
\({a \over 5} \) |
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.
What is -3y6 + 5y6?
| 2y-12 | |
| 8y-6 | |
| 2y6 | |
| 2y12 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:
-3y6 + 5y6
(-3 + 5)y6
2y6