| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.20 |
| Score | 0% | 64% |
What is \( \frac{1}{8} \) ÷ \( \frac{3}{7} \)?
| \(\frac{1}{12}\) | |
| \(\frac{7}{24}\) | |
| \(\frac{2}{35}\) | |
| \(\frac{7}{8}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{1}{8} \) ÷ \( \frac{3}{7} \) = \( \frac{1}{8} \) x \( \frac{7}{3} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{1}{8} \) x \( \frac{7}{3} \) = \( \frac{1 x 7}{8 x 3} \) = \( \frac{7}{24} \) = \(\frac{7}{24}\)
A tiger in a zoo has consumed 39 pounds of food in 3 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 130 pounds?
| 5 | |
| 2 | |
| 8 | |
| 7 |
If the tiger has consumed 39 pounds of food in 3 days that's \( \frac{39}{3} \) = 13 pounds of food per day. The tiger needs to consume 130 - 39 = 91 more pounds of food to reach 130 pounds total. At 13 pounds of food per day that's \( \frac{91}{13} \) = 7 more days.
What is \( \frac{2b^6}{4b^3} \)?
| \(\frac{1}{2}\)b18 | |
| \(\frac{1}{2}\)b3 | |
| \(\frac{1}{2}\)b2 | |
| 2b-3 |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{2b^6}{4b^3} \)
\( \frac{2}{4} \) b(6 - 3)
\(\frac{1}{2}\)b3
The __________ is the smallest positive integer that is a multiple of two or more integers.
absolute value |
|
least common factor |
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greatest common factor |
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least common multiple |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
A factor is a positive __________ that divides evenly into a given number.
mixed number |
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improper fraction |
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fraction |
|
integer |
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.