A fraction represents a part of a whole and consists of a numerator (top number) and a denominator (bottom number). For example, $$\frac{3}{4}$$ means 3 parts out of 4.

What does it mean to multiply fractions?

Multiplying fractions involves multiplying the numerators together and the denominators together. For example, $$\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}$$ .

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 $$\frac{4}{3}$$ .

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

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient becomes the whole number, and the remainder becomes the new numerator. For example, $$\frac{9}{4} = 2 \frac{1}{4}$$ .

What is the relationship between multiplication and division of fractions?

Multiplication of fractions is the inverse operation of division. Dividing by a fraction is the same as multiplying by its reciprocal. For example, $$\frac{1}{2} \div \frac{1}{3} = \frac{1}{2} \times \frac{3}{1} = \frac{3}{2}$$ .

What is a model for multiplying fractions?

A model for multiplying fractions can be visualized using area models or number lines, showing how parts of a whole are combined.

What is a model for dividing fractions?

A model for dividing fractions can be visualized using area models or by partitioning a whole into equal parts, showing how many times one fraction fits into another.

Multiplying and Dividing Fractions with Models Flashcards

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

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

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