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

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place that result over the original denominator. For example, $$2 \frac{1}{3} = \frac{2 \times 3 + 1}{3} = \frac{7}{3}$$ .

What is the reciprocal of a fraction?

The reciprocal of a fraction is obtained by flipping the numerator and denominator. For example, the reciprocal of $$\frac{3}{4}$$ is $$\frac{4}{3}$$ .

What is the result of dividing a fraction by a whole number?

To divide a fraction by a whole number, multiply the denominator of the fraction by that whole number. For example, $$\frac{1}{2} \div 3 = \frac{1}{2} \times \frac{1}{3} = \frac{1}{6}$$ .

What is a common denominator?

A common denominator is a shared multiple of the denominators of two or more fractions, allowing them to be added or subtracted. For example, for $$\frac{1}{4}$$ and $$\frac{1}{6}$$ , the common denominator is 12.

How do you add fractions with different denominators?

To add fractions with different denominators, first find a common denominator, convert the fractions, and then add the numerators. For example, $$\frac{1}{4} + \frac{1}{6} = \frac{3}{12} + \frac{2}{12} = \frac{5}{12}$$ .

What is the relationship between multiplication and division of fractions?

Multiplication and division of fractions are inverse operations. Multiplying by a fraction is the same as dividing by its reciprocal.

What is a proper fraction?

A proper fraction is a fraction where the numerator is less than the denominator, such as $$\frac{3}{4}$$ .

What is an improper fraction?

An improper fraction is a fraction where the numerator is greater than or equal to the denominator, such as $$\frac{5}{4}$$ .

Multiplying and Dividing Fractions Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a fraction?

Back

A fraction represents a part of a whole and consists of a numerator (top number) and a denominator (bottom number). For example, in the fraction 1/2, 1 is the numerator and 2 is the denominator.

2.

FLASHCARD QUESTION

Front

How do you multiply fractions?

Back

3.

FLASHCARD QUESTION

Front

What is the rule for dividing fractions?

Back

4.

FLASHCARD QUESTION

Front

What does it mean to simplify a fraction?

Back

5.

FLASHCARD QUESTION

Front

What is the product of a positive and a positive number?

Back

The product of a positive number and a positive number is always positive.

6.

FLASHCARD QUESTION

Front

What is the product of a negative and a negative number?

Back

The product of a negative number and a negative number is always positive.

7.

FLASHCARD QUESTION

Front

What is the product of a positive and a negative number?

Back

The product of a positive number and a negative number is always negative.

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