| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.54 |
| Score | 0% | 71% |
What is \( \sqrt{\frac{49}{25}} \)?
| 1\(\frac{1}{2}\) | |
| 1 | |
| 1\(\frac{2}{5}\) | |
| 1\(\frac{2}{7}\) |
To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:
\( \sqrt{\frac{49}{25}} \)
\( \frac{\sqrt{49}}{\sqrt{25}} \)
\( \frac{\sqrt{7^2}}{\sqrt{5^2}} \)
\( \frac{7}{5} \)
1\(\frac{2}{5}\)
Find the average of the following numbers: 10, 8, 13, 5.
| 12 | |
| 4 | |
| 13 | |
| 9 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{10 + 8 + 13 + 5}{4} \) = \( \frac{36}{4} \) = 9
Simplify \( \sqrt{18} \)
| 3\( \sqrt{2} \) | |
| 8\( \sqrt{4} \) | |
| 9\( \sqrt{4} \) | |
| 6\( \sqrt{2} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{18} \)
\( \sqrt{9 \times 2} \)
\( \sqrt{3^2 \times 2} \)
3\( \sqrt{2} \)
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?
| 1\(\frac{3}{8}\) cups | |
| \(\frac{7}{8}\) cups | |
| \(\frac{5}{8}\) cups | |
| 1\(\frac{7}{8}\) 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
Which of the following is a mixed number?
\(1 {2 \over 5} \) |
|
\({7 \over 5} \) |
|
\({a \over 5} \) |
|
\({5 \over 7} \) |
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.