A fraction represents a part of a whole. It consists of a numerator (top number) and a denominator (bottom number). For example, in the fraction $$\frac{3}{4}$$ , 3 is the numerator and 4 is the denominator.

How do you represent $$\frac{2}{3} \times \frac{1}{2}$$ using an area model?

Draw a rectangle divided into 3 equal parts (for $$\frac{2}{3}$$ ) and shade 2 of those parts. Then, divide the shaded area into 2 equal parts (for $$\frac{1}{2}$$ ) and shade half of it. The overlapping area represents the product.

What is the product of $$\frac{4}{5} \times \frac{3}{6}$$ ?

To find the product, multiply the numerators and the denominators: $$\frac{4 \times 3}{5 \times 6} = \frac{12}{30}$$ . This can be simplified to $$\frac{2}{5}$$ .

How do you simplify a fraction?

To simplify a fraction, divide both the numerator and the denominator by their greatest common divisor (GCD). For example, $$\frac{8}{12}$$ can be simplified to $$\frac{2}{3}$$ by dividing both by 4.

What is the relationship between multiplication and area?

Multiplication can be thought of as finding the area of a rectangle. The length and width of the rectangle represent the two factors being multiplied.

What does it mean if a fraction is improper?

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

What is a mixed number?

A mixed number is a whole number combined with a proper fraction, such as 1 $$\frac{1}{2}$$ .

How can 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 is the whole number, and the remainder becomes the numerator of the fraction.

What is the importance of understanding fractions in real life?

Understanding fractions is important for cooking, measuring, budgeting, and many everyday activities where parts of a whole are involved.

What is the result of multiplying a fraction by 1?

Multiplying any fraction by 1 does not change its value. For example, $$\frac{3}{4} \times 1 = \frac{3}{4}$$ .

What happens when you multiply a fraction by 0?

Multiplying any fraction by 0 results in 0. For example, $$\frac{3}{4} \times 0 = 0$$ .

Multiplying Fractions-Area Model Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a fraction?

Back

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

2.

FLASHCARD QUESTION

Front

What does it mean to multiply fractions?

Back

Tags

CCSS.5.NF.B.7A

CCSS.5.NF.B.7C

3.

FLASHCARD QUESTION

Front

What is the area model for multiplying fractions?

Back

The area model visually represents the multiplication of fractions using rectangles. Each fraction is represented as a part of a rectangle, and the overlapping area represents the product of the two fractions.

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

4.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

5.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.5.NF.B.6

6.

FLASHCARD QUESTION

Front

What is the first step in multiplying fractions?

Back

The first step is to multiply the numerators of the fractions together.

Tags

CCSS.5.NF.B.6

7.

FLASHCARD QUESTION

Front

What is the second step in multiplying fractions?

Back

The second step is to multiply the denominators of the fractions together.

Tags

CCSS.5.NF.B.6

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