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.

If $$\frac{1}{3} \times \alpha = \frac{2}{24}$$ , what is $$\alpha$$ ?

$$\alpha = \frac{2}{24} \div \frac{1}{3} = \frac{2}{24} \times \frac{3}{1} = \frac{6}{24} = \frac{1}{4}$$ .

What does the term 'of' mean in fraction multiplication?

The term 'of' indicates multiplication. For example, '2/3 of 3/4' means $$\frac{2}{3} \times \frac{3}{4}$$ .

What is the product of $$\frac{2}{8} \times \frac{1}{3}$$ ?

$$\frac{2 \times 1}{8 \times 3} = \frac{2}{24} = \frac{1}{12}$$ after simplification.

How do you find a missing factor when given a product?

To find a missing factor, divide the product by the known factor.

If $$\frac{1}{2} \times \alpha = \frac{1}{16}$$ , what is $$\alpha$$ ?

$$\alpha = \frac{1}{16} \div \frac{1}{2} = \frac{1}{16} \times 2 = \frac{2}{16} = \frac{1}{8}$$ .

What is the relationship between multiplication and division of fractions?

Multiplication of fractions can be reversed by division. If you know the product and one factor, you can find the missing factor by dividing.

What is $$\frac{1}{4} \times n = \frac{1}{12}$$ asking for?

It is asking for the value of $$n$$ that makes the equation true. Here, $$n = \frac{1}{12} \div \frac{1}{4} = \frac{1}{12} \times 4 = \frac{4}{12} = \frac{1}{3}$$ .

What does it mean to represent a product with a model?

Representing a product with a model visually shows how the fractions interact, often using area or set models to illustrate the multiplication.

What is the final answer for $$\frac{2}{3} \text{ of } \frac{3}{4}$$ ?

The final answer is $$\frac{2}{3} \times \frac{3}{4} = \frac{6}{12} = \frac{1}{2}$$ after simplification.

Multiply Fractions (models- missing factors) Flashcards

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15 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 first step in multiplying fractions?

Back

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

4.

FLASHCARD QUESTION

Front

What is the second step in multiplying fractions?

Back

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

5.

FLASHCARD QUESTION

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide both the numerator and the denominator by their greatest common factor (GCF).

6.

FLASHCARD QUESTION

Front

What is a missing factor in a multiplication problem?

Back

A missing factor is a value that needs to be determined to complete the multiplication equation.

7.

FLASHCARD QUESTION

Front

Back

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