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Weston's AI Class > Fractions > Flashcards

Fractions Flashcards

1
Q

What is a fraction?

A

A fraction represents a part of a whole.

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2
Q

What is the numerator of a fraction?

A

The numerator is the top number of a fraction, representing the part being considered.

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3
Q

What is the denominator of a fraction?

A

The denominator is the bottom number of a fraction, representing the total number of parts in the whole.

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4
Q

True or False: In a fraction, the numerator is always smaller than the denominator.

A

False. The numerator can be equal to or greater than the denominator.

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5
Q

What is a proper fraction?

A

A proper fraction is a fraction where the numerator is less than the denominator.

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6
Q

What is an improper fraction?

A

An improper fraction is a fraction where the numerator is equal to or greater than the denominator.

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7
Q

What is a mixed number?

A

A mixed number is a whole number combined with a proper fraction.

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8
Q

How do you convert an improper fraction to a mixed number?

A

Divide the numerator by the denominator to get the whole number part and the remainder becomes the numerator of the new fraction.

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9
Q

What is a reciprocal of a fraction?

A

The reciprocal of a fraction is obtained by swapping the numerator and denominator.

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10
Q

What is a common denominator?

A

A common denominator is a shared multiple of the denominators of two or more fractions.

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11
Q

What is the least common denominator (LCD)?

A

The least common denominator is the smallest multiple that all denominators can divide into evenly.

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12
Q

How do you add fractions with different denominators?

A

Find a common denominator, add the numerators, and simplify the result if necessary.

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13
Q

How do you subtract fractions with different denominators?

A

Find a common denominator, subtract the numerators, and simplify the result if necessary.

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14
Q

How do you multiply fractions?

A

Multiply the numerators together to get the new numerator, and multiply the denominators together to get the new denominator.

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15
Q

How do you divide fractions?

A

Multiply the first fraction by the reciprocal of the second fraction.

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16
Q

What is a decimal equivalent of a fraction?

A

A decimal equivalent of a fraction is the result of dividing the numerator by the denominator.

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17
Q

What is a repeating decimal?

A

A repeating decimal is a decimal in which one or more digits repeat infinitely.

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18
Q

What is a terminating decimal?

A

A terminating decimal is a decimal that ends, or terminates, such as 0.25.

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19
Q

What is a percent equivalent of a fraction?

A

A percent equivalent of a fraction is obtained by multiplying the fraction by 100.

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20
Q

What is a ratio?

A

A ratio is a comparison of two numbers or quantities.

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21
Q

What is a proportion?

A

A proportion is an equation that states two ratios are equal.

22
Q

What is a unit fraction?

A

A unit fraction has a numerator of 1, such as 1/2, 1/3, 1/4, etc.

23
Q

What is a like fraction?

A

Like fractions have the same denominator, making them easier to add or subtract.

24
Q

What is an unlike fraction?

A

Unlike fractions have different denominators, requiring finding a common denominator to add or subtract.

25
Q

What is a complex fraction?

A

A complex fraction is a fraction where the numerator, denominator, or both contain fractions.

26
Q

What is a fraction?

A

A fraction represents a part of a whole.

27
Q

What is the numerator of a fraction?

A

The numerator is the top number of a fraction, representing the part being considered.

28
Q

What is the denominator of a fraction?

A

The denominator is the bottom number of a fraction, representing the total number of parts in the whole.

29
Q

True or False: In a fraction, the numerator is always smaller than the denominator.

A

False. The numerator can be equal to or greater than the denominator.

30
Q

What is a proper fraction?

A

A proper fraction is a fraction where the numerator is less than the denominator.

31
Q

What is an improper fraction?

A

An improper fraction is a fraction where the numerator is equal to or greater than the denominator.

32
Q

What is a mixed number?

A

A mixed number is a whole number combined with a proper fraction.

33
Q

How do you convert an improper fraction to a mixed number?

A

Divide the numerator by the denominator to get the whole number part and the remainder becomes the numerator of the new fraction.

34
Q

What is a reciprocal of a fraction?

A

The reciprocal of a fraction is obtained by swapping the numerator and denominator.

35
Q

What is a common denominator?

A

A common denominator is a shared multiple of the denominators of two or more fractions.

36
Q

What is the least common denominator (LCD)?

A

The least common denominator is the smallest multiple that all denominators can divide into evenly.

37
Q

How do you add fractions with different denominators?

A

Find a common denominator, add the numerators, and simplify the result if necessary.

38
Q

How do you subtract fractions with different denominators?

A

Find a common denominator, subtract the numerators, and simplify the result if necessary.

39
Q

How do you multiply fractions?

A

Multiply the numerators together to get the new numerator, and multiply the denominators together to get the new denominator.

40
Q

How do you divide fractions?

A

Multiply the first fraction by the reciprocal of the second fraction.

41
Q

What is a decimal equivalent of a fraction?

A

A decimal equivalent of a fraction is the result of dividing the numerator by the denominator.

42
Q

What is a repeating decimal?

A

A repeating decimal is a decimal in which one or more digits repeat infinitely.

43
Q

What is a terminating decimal?

A

A terminating decimal is a decimal that ends, or terminates, such as 0.25.

44
Q

What is a percent equivalent of a fraction?

A

A percent equivalent of a fraction is obtained by multiplying the fraction by 100.

45
Q

What is a ratio?

A

A ratio is a comparison of two numbers or quantities.

46
Q

What is a proportion?

A

A proportion is an equation that states two ratios are equal.

47
Q

What is a unit fraction?

A

A unit fraction has a numerator of 1, such as 1/2, 1/3, 1/4, etc.

48
Q

What is a like fraction?

A

Like fractions have the same denominator, making them easier to add or subtract.

49
Q

What is an unlike fraction?

A

Unlike fractions have different denominators, requiring finding a common denominator to add or subtract.

50
Q

What is a complex fraction?

A

A complex fraction is a fraction where the numerator, denominator, or both contain fractions.

Weston's AI Class (4 decks)

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