A fraction represents a part of a whole and is written as $$\frac{a}{b}$$ , where 'a' is the numerator and 'b' is the denominator.

How do you find the product of $$\frac{1}{2}$$ and $$\frac{3}{4}$$ using the area model?

Draw a rectangle, divide it into 2 equal parts (for $$\frac{1}{2}$$ ) and then divide one of those parts into 4 equal parts (for $$\frac{3}{4}$$ ). The area of the shaded part represents the product, which is $$\frac{3}{8}$$ .

What is the product of $$\frac{2}{3}$$ and $$\frac{3}{5}$$ ?

The product is $$\frac{2 \times 3}{3 \times 5} = \frac{6}{15}$$ , which simplifies to $$\frac{2}{5}$$ .

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

Draw a rectangle, divide it into 3 equal vertical parts (for $$\frac{1}{3}$$ ) and then divide it into 2 equal horizontal parts (for $$\frac{1}{2}$$ ). The overlapping area represents the product, which is $$\frac{1}{6}$$ .

What is the product of $$\frac{4}{5}$$ and $$\frac{2}{3}$$ ?

The product is $$\frac{4 \times 2}{5 \times 3} = \frac{8}{15}$$ .

What is the first step in multiplying fractions?

Multiply the numerators together to get the new numerator.

What is the second step in multiplying fractions?

Multiply the denominators together to get the new denominator.

What is $$\frac{3}{4} \times \frac{2}{5}$$ ?

The product is $$\frac{3 \times 2}{4 \times 5} = \frac{6}{20}$$ , which simplifies to $$\frac{3}{10}$$ .

How do you simplify the fraction $$\frac{8}{12}$$ ?

Divide both the numerator and denominator by their greatest common divisor, which is 4. The simplified fraction is $$\frac{2}{3}$$ .

What is the product of $$\frac{1}{5}$$ and $$\frac{2}{6}$$ ?

The product is $$\frac{1 \times 2}{5 \times 6} = \frac{2}{30}$$ , which simplifies to $$\frac{1}{15}$$ .

Multiplying Fractions- Area Model Edition Flashcards

Student preview

14 questions

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1.

FLASHCARD QUESTION

Front

What is a fraction?

Back

2.

FLASHCARD QUESTION

Front

What does it mean to multiply fractions?

Back

3.

FLASHCARD QUESTION

Front

What is the area model for multiplying fractions?

Back

The area model visually represents the multiplication of fractions by dividing a rectangle into parts that correspond to the fractions being multiplied.

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

What does the numerator represent in a fraction?

Back

The numerator represents the number of parts we have.

7.

FLASHCARD QUESTION

Front

What does the denominator represent in a fraction?

Back

The denominator represents the total number of equal parts the whole is divided into.

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