| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.04 |
| Score | 0% | 61% |
What is \( \frac{1}{6} \) ÷ \( \frac{4}{9} \)?
| \(\frac{1}{35}\) | |
| \(\frac{1}{24}\) | |
| \(\frac{3}{64}\) | |
| \(\frac{3}{8}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{1}{6} \) ÷ \( \frac{4}{9} \) = \( \frac{1}{6} \) x \( \frac{9}{4} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{1}{6} \) x \( \frac{9}{4} \) = \( \frac{1 x 9}{6 x 4} \) = \( \frac{9}{24} \) = \(\frac{3}{8}\)
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 15% off." If Charlie buys two shirts, each with a regular price of $42, how much will he pay for both shirts?
| $60.90 | |
| $46.20 | |
| $6.30 | |
| $77.70 |
By buying two shirts, Charlie will save $42 x \( \frac{15}{100} \) = \( \frac{$42 x 15}{100} \) = \( \frac{$630}{100} \) = $6.30 on the second shirt.
So, his total cost will be
$42.00 + ($42.00 - $6.30)
$42.00 + $35.70
$77.70
What is \( \frac{1}{9} \) x \( \frac{1}{8} \)?
| \(\frac{1}{72}\) | |
| \(\frac{3}{64}\) | |
| \(\frac{1}{6}\) | |
| \(\frac{1}{9}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{1}{9} \) x \( \frac{1}{8} \) = \( \frac{1 x 1}{9 x 8} \) = \( \frac{1}{72} \) = \(\frac{1}{72}\)
How many 2\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 25 gallon tank to fill it exactly halfway?
| 10 | |
| 5 | |
| 2 | |
| 6 |
To fill a 25 gallon tank exactly halfway you'll need 12\(\frac{1}{2}\) gallons of fuel. Each fuel can holds 2\(\frac{1}{2}\) gallons so:
cans = \( \frac{12\frac{1}{2} \text{ gallons}}{2\frac{1}{2} \text{ gallons}} \) = 5
A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 3 to 2 and the ratio of baseball to basketball cards is 3 to 1, what is the ratio of football to basketball cards?
| 7:2 | |
| 9:2 | |
| 7:8 | |
| 9:6 |
The ratio of football cards to baseball cards is 3:2 and the ratio of baseball cards to basketball cards is 3:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 9:6 and the ratio of baseball cards to basketball cards as 6:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 9:6, 6:2 which reduces to 9:2.