| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.52 |
| Score | 0% | 70% |
What is \( \frac{2}{6} \) x \( \frac{2}{7} \)?
| \(\frac{4}{45}\) | |
| \(\frac{4}{7}\) | |
| \(\frac{1}{12}\) | |
| \(\frac{2}{21}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{6} \) x \( \frac{2}{7} \) = \( \frac{2 x 2}{6 x 7} \) = \( \frac{4}{42} \) = \(\frac{2}{21}\)
The total water usage for a city is 45,000 gallons each day. Of that total, 16% is for personal use and 51% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 3,850 | |
| 15,749 | |
| 1,600 | |
| 6,600 |
51% of the water consumption is industrial use and 16% is personal use so (51% - 16%) = 35% more water is used for industrial purposes. 45,000 gallons are consumed daily so industry consumes \( \frac{35}{100} \) x 45,000 gallons = 15,749 gallons.
Which of the following is not an integer?
1 |
|
\({1 \over 2}\) |
|
0 |
|
-1 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
What is \( \frac{4}{7} \) ÷ \( \frac{1}{7} \)?
| \(\frac{1}{12}\) | |
| \(\frac{1}{15}\) | |
| \(\frac{1}{7}\) | |
| 4 |
To divide fractions, invert the second fraction and then multiply:
\( \frac{4}{7} \) ÷ \( \frac{1}{7} \) = \( \frac{4}{7} \) x \( \frac{7}{1} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{4}{7} \) x \( \frac{7}{1} \) = \( \frac{4 x 7}{7 x 1} \) = \( \frac{28}{7} \) = 4
Find the average of the following numbers: 8, 6, 8, 6.
| 7 | |
| 5 | |
| 11 | |
| 10 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{8 + 6 + 8 + 6}{4} \) = \( \frac{28}{4} \) = 7