Fractions Flashcards

1
Q

What is a fraction?

A

A fraction is a mathematical expression representing the division of one quantity by another, typically written as a/b, where ‘a’ is the numerator and ‘b’ is the denominator.

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2
Q

True or False: The denominator of a fraction can be zero.

A

False

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3
Q

How do you add two fractions with the same denominator?

A

You add the numerators and keep the same denominator.

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4
Q

What is the first step in adding fractions with different denominators?

A

Find a common denominator.

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5
Q

Fill in the blank: To subtract fractions, you need a ________ denominator.

A

common

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6
Q

What is the formula for multiplying two fractions?

A

Multiply the numerators together and multiply the denominators together.

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7
Q

How do you divide fractions?

A

Multiply by the reciprocal of the divisor.

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8
Q

What is a mixed number?

A

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

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9
Q

Convert the mixed number 2 1/3 to an improper fraction.

A

7/3

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10
Q

True or False: When multiplying fractions, the result is always larger than both fractions.

A

False

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11
Q

What is the result of 1/2 + 1/4?

A

3/4

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12
Q

What must you do before adding or subtracting mixed numbers?

A

Convert them to improper fractions.

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13
Q

Fill in the blank: The reciprocal of 3/5 is ________.

A

5/3

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14
Q

What is the result of 3/4 * 1/2?

A

3/8

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15
Q

How do you simplify the fraction 8/12?

A

Divide both the numerator and the denominator by 4 to get 2/3.

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16
Q

What is the least common denominator (LCD) of 1/3 and 1/4?

A

12

17
Q

True or False: You can add fractions with different denominators directly.

A

False

18
Q

What is the result of 5/6 - 1/3?

A

1/2

19
Q

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

A

Divide the numerator by the denominator; the quotient is the whole number, and the remainder is the numerator of the fraction part.

20
Q

What is the product of 2/5 and 3/4?

A

6/20 or 3/10 when simplified.

21
Q

Fill in the blank: To add mixed numbers, first convert them to ________ fractions.

A

improper

22
Q

What is the result of dividing 3/4 by 1/2?

A

3/2 or 1 1/2

23
Q

True or False: The sum of two fractions can be greater than 1.

A

True

24
Q

What is the sum of 1/6 and 1/3?

A

1/2

25
Q

What do you call a fraction where the numerator is larger than the denominator?

A

An improper fraction.

26
Q

If a fraction is 3/9, what is its simplest form?

A

1/3