| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.47 |
| Score | 0% | 69% |
Simplify \( \frac{36}{48} \).
| \( \frac{3}{4} \) | |
| \( \frac{5}{16} \) | |
| \( \frac{10}{17} \) | |
| \( \frac{9}{16} \) |
To simplify this fraction, first find the greatest common factor between them. The factors of 36 are [1, 2, 3, 4, 6, 9, 12, 18, 36] and the factors of 48 are [1, 2, 3, 4, 6, 8, 12, 16, 24, 48]. They share 6 factors [1, 2, 3, 4, 6, 12] making 12 their greatest common factor (GCF).
Next, divide both numerator and denominator by the GCF:
\( \frac{36}{48} \) = \( \frac{\frac{36}{12}}{\frac{48}{12}} \) = \( \frac{3}{4} \)
The __________ is the greatest factor that divides two integers.
greatest common multiple |
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greatest common factor |
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least common multiple |
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absolute value |
The greatest common factor (GCF) is the greatest factor that divides two integers.
Ezra loaned Betty $1,300 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?
| $1,313 | |
| $1,339 | |
| $1,404 | |
| $1,352 |
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 $1,300
i = 0.04 x $1,300
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,300 + $52
| 1 | |
| 4.2 | |
| 5.4 | |
| 9.0 |
1
What is the greatest common factor of 40 and 80?
| 3 | |
| 29 | |
| 11 | |
| 40 |
The factors of 40 are [1, 2, 4, 5, 8, 10, 20, 40] and the factors of 80 are [1, 2, 4, 5, 8, 10, 16, 20, 40, 80]. They share 8 factors [1, 2, 4, 5, 8, 10, 20, 40] making 40 the greatest factor 40 and 80 have in common.