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 $$\frac{1}{2}$$ , 1 is the part and 2 is the whole.

How do you represent $$\frac{1}{3} \times \frac{2}{5}$$ using an area model?

Draw a rectangle divided into 3 equal parts (for $$\frac{1}{3}$$ ) and shade 1 part. Then divide the same rectangle into 5 equal parts (for $$\frac{2}{5}$$ ) and shade 2 parts. The overlapping shaded area represents the product.

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

$$\frac{2}{3} \times \frac{3}{4} = \frac{2 \times 3}{3 \times 4} = \frac{6}{12} = \frac{1}{2}$$ after simplifying.

What is the second step in multiplying fractions?

The second step in multiplying fractions is to multiply the denominators together to get the new denominator.

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 over the original denominator. For example, $$2 \frac{1}{3} = \frac{2 \times 3 + 1}{3} = \frac{7}{3}$$ .

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

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

What is a common denominator?

A common denominator is a shared multiple of the denominators of two or more fractions. It is used to add or subtract fractions.

How do you find a common denominator for $$\frac{1}{4}$$ and $$\frac{1}{6}$$ ?

The least common multiple (LCM) of 4 and 6 is 12. So, the common denominator is 12.

What is the area of a rectangle with dimensions $$\frac{2}{3}$$ and $$\frac{3}{4}$$ ?

The area is found by multiplying the dimensions: $$\frac{2}{3} \times \frac{3}{4} = \frac{2 \times 3}{3 \times 4} = \frac{6}{12} = \frac{1}{2}$$ .

What is the relationship between fractions and division?

Fractions can be interpreted as division. For example, $$\frac{a}{b}$$ means 'a divided by b'.

How do you check if a fraction is in simplest form?

A fraction is in simplest form if the numerator and denominator have no common factors other than 1.

Multiplying Fractions- Area Model Edition 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.3.NF.A.3C

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 shows the product.

Tags

CCSS.5.NF.B.4B

4.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.5.NF.B.4B

5.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.5.NF.B.6

6.

FLASHCARD QUESTION

Front

What does it mean to simplify a fraction?

Back

7.

FLASHCARD QUESTION

Front

What is the first step in multiplying fractions?

Back

The first step in multiplying fractions is to multiply the numerators together to get the new numerator.

Tags

CCSS.5.NF.B.6

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