| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.44 |
| Score | 0% | 69% |
What is \( \frac{3}{8} \) + \( \frac{4}{16} \)?
| \( \frac{8}{16} \) | |
| \( \frac{6}{11} \) | |
| \( \frac{1}{16} \) | |
| \(\frac{5}{8}\) |
To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80] and the first few multiples of 16 are [16, 32, 48, 64, 80, 96]. The first few multiples they share are [16, 32, 48, 64, 80] making 16 the smallest multiple 8 and 16 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{3 x 2}{8 x 2} \) + \( \frac{4 x 1}{16 x 1} \)
\( \frac{6}{16} \) + \( \frac{4}{16} \)
Now, because the fractions share a common denominator, you can add them:
\( \frac{6 + 4}{16} \) = \( \frac{10}{16} \) = \(\frac{5}{8}\)
The __________ is the greatest factor that divides two integers.
greatest common multiple |
|
least common multiple |
|
greatest common factor |
|
absolute value |
The greatest common factor (GCF) is the greatest factor that divides two integers.
Which of these numbers is a factor of 40?
| 4 | |
| 33 | |
| 31 | |
| 18 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40.
Which of the following is not an integer?
0 |
|
\({1 \over 2}\) |
|
1 |
|
-1 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
Frank loaned Monica $1,500 at an annual interest rate of 4%. If no payments are made, what is the total amount owed at the end of the first year?
| $1,560 | |
| $1,575 | |
| $1,605 | |
| $1,590 |
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 = 0.04 x $1,500
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,500 + $60