| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.10 |
| Score | 0% | 62% |
A bread recipe calls for 1\(\frac{7}{8}\) cups of flour. If you only have 1\(\frac{1}{4}\) cups, how much more flour is needed?
| \(\frac{5}{8}\) cups | |
| 1\(\frac{1}{8}\) cups | |
| 2\(\frac{7}{8}\) cups | |
| 2 cups |
The amount of flour you need is (1\(\frac{7}{8}\) - 1\(\frac{1}{4}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{15}{8} \) - \( \frac{10}{8} \)) cups
\( \frac{5}{8} \) cups
\(\frac{5}{8}\) cups
What is \( \frac{4}{9} \) ÷ \( \frac{3}{7} \)?
| \(\frac{1}{63}\) | |
| \(\frac{16}{45}\) | |
| 1\(\frac{1}{27}\) | |
| \(\frac{2}{45}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{4}{9} \) ÷ \( \frac{3}{7} \) = \( \frac{4}{9} \) x \( \frac{7}{3} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{4}{9} \) x \( \frac{7}{3} \) = \( \frac{4 x 7}{9 x 3} \) = \( \frac{28}{27} \) = 1\(\frac{1}{27}\)
The __________ is the smallest positive integer that is a multiple of two or more integers.
absolute value |
|
greatest common factor |
|
least common factor |
|
least common multiple |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
How many 1\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 6 gallon tank to fill it exactly halfway?
| 7 | |
| 2 | |
| 4 | |
| 9 |
To fill a 6 gallon tank exactly halfway you'll need 3 gallons of fuel. Each fuel can holds 1\(\frac{1}{2}\) gallons so:
cans = \( \frac{3 \text{ gallons}}{1\frac{1}{2} \text{ gallons}} \) = 2
Roger loaned Damon $1,500 at an annual interest rate of 8%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $4 | |
| $20 | |
| $32 | |
| $120 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $1,500
i = 0.08 x $1,500
i = $120