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

What is the product of $$\frac{1}{2}$$ and $$\frac{1}{3}$$ ?

$$\frac{1}{2} \times \frac{1}{3} = \frac{1 \times 1}{2 \times 3} = \frac{1}{6}$$ .

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

$$\frac{3}{4} \times \frac{2}{5} = \frac{3 \times 2}{4 \times 5} = \frac{6}{20} = \frac{3}{10}$$ after simplification.

How can you represent $$\frac{4}{12}$$ using a model?

You can represent $$\frac{4}{12}$$ by dividing a shape into 12 equal parts and shading 4 of those parts.

What is the equation represented by the area model showing 3 groups of $$\frac{3}{4}$$ ?

The equation is $$3 \times \frac{3}{4} = \frac{9}{4}$$ .

What does it mean to find the equation that matches a model?

Finding the equation that matches a model involves identifying the mathematical expression that accurately represents the visual representation shown.

What is the product of $$\frac{1}{8}$$ and $$\frac{1}{3}$$ ?

$$\frac{1}{8} \times \frac{1}{3} = \frac{1 \times 1}{8 \times 3} = \frac{1}{24}$$ .

What is the relationship between multiplication and area?

Multiplication can be understood as finding the area of a rectangle, where the length and width are represented by the factors being multiplied.

What is a common mistake when multiplying fractions?

A common mistake is to add the numerators and denominators instead of multiplying them.

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

A fraction is in simplest form if the greatest common divisor (GCD) of the numerator and denominator is 1.

What is the importance of using models in fraction multiplication?

Models help students visualize and understand the concept of multiplying fractions, making it easier to grasp the abstract mathematical operations.

Multiply Fractions with Models Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a fraction?

Back

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

2.

FLASHCARD QUESTION

Front

How do you multiply fractions?

Back

Tags

CCSS.5.NF.B.6

3.

FLASHCARD QUESTION

Front

What does it mean to simplify a fraction?

Back

Simplifying a fraction means reducing it to its lowest terms, where the numerator and denominator have no common factors other than 1.

4.

FLASHCARD QUESTION

Front

What is a model in mathematics?

Back

A model in mathematics is a visual representation that helps to illustrate mathematical concepts, such as area models or number lines.

5.

FLASHCARD QUESTION

Front

What is an area model for multiplying fractions?

Back

An area model visually represents the product of two fractions by dividing a rectangle into parts that correspond to the fractions being multiplied.

6.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.5.NF.B.6

7.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.7.NS.A.2A

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