| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.18 |
| Score | 0% | 64% |
Which of the following is an improper fraction?
\({7 \over 5} \) |
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\({a \over 5} \) |
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\({2 \over 5} \) |
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\(1 {2 \over 5} \) |
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.
A bread recipe calls for 2\(\frac{3}{8}\) cups of flour. If you only have 1\(\frac{1}{2}\) cups, how much more flour is needed?
| \(\frac{7}{8}\) cups | |
| 1 cups | |
| 2 cups | |
| \(\frac{3}{4}\) cups |
The amount of flour you need is (2\(\frac{3}{8}\) - 1\(\frac{1}{2}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{19}{8} \) - \( \frac{12}{8} \)) cups
\( \frac{7}{8} \) cups
\(\frac{7}{8}\) cups
A tiger in a zoo has consumed 90 pounds of food in 9 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 120 pounds?
| 5 | |
| 10 | |
| 3 | |
| 7 |
If the tiger has consumed 90 pounds of food in 9 days that's \( \frac{90}{9} \) = 10 pounds of food per day. The tiger needs to consume 120 - 90 = 30 more pounds of food to reach 120 pounds total. At 10 pounds of food per day that's \( \frac{30}{10} \) = 3 more days.
The __________ is the smallest positive integer that is a multiple of two or more integers.
greatest common factor |
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least common multiple |
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absolute value |
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least common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
a(b + c) = ab + ac defines which of the following?
distributive property for division |
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distributive property for multiplication |
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commutative property for multiplication |
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commutative property for division |
The distributive property for multiplication helps in solving expressions like a(b + c). It specifies that the result of multiplying one number by the sum or difference of two numbers can be obtained by multiplying each number individually and then totaling the results: a(b + c) = ab + ac. For example, 4(10-5) = (4 x 10) - (4 x 5) = 40 - 20 = 20.