A fraction represents a part of a whole and 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 divide $$\frac{1}{2}$$ by $$\frac{1}{4}$$ ?

To divide $$\frac{1}{2}$$ by $$\frac{1}{4}$$ , multiply $$\frac{1}{2}$$ by the reciprocal of $$\frac{1}{4}$$ : $$\frac{1}{2} \times \frac{4}{1} = \frac{4}{2} = 2$$ .

What is $$\frac{3}{5} \text{ ÷ } 3$$ ?

$$\frac{3}{5} \text{ ÷ } 3 = \frac{3}{5} \times \frac{1}{3} = \frac{3 \times 1}{5 \times 3} = \frac{1}{5}$$ .

How do you simplify the result of dividing fractions?

To simplify the result of dividing fractions, divide both the numerator and the denominator by their greatest common divisor (GCD).

What is the result of $$\frac{8}{12}$$ after simplification?

$$\frac{8}{12}$$ simplifies to $$\frac{2}{3}$$ by dividing both the numerator and denominator by their GCD, which is 4.

What is a mixed number?

A mixed number is a whole number combined with a fraction. For example, $$2 \frac{1}{2}$$ is a mixed number.

How do 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 $$\frac{9}{4}$$ as a mixed number?

$$\frac{9}{4}$$ as a mixed number is $$2 \frac{1}{4}$$ because 9 divided by 4 is 2 with a remainder of 1.

Why is it important to understand dividing fractions?

Understanding how to divide fractions is important because it helps in solving real-world problems involving ratios, proportions, and measurements.

DIVIDING FRACTIONS 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 divide fractions?

Back

Dividing fractions involves finding how many times one fraction fits into another. This is done by multiplying the first fraction by the reciprocal of the second fraction.

Tags

CCSS.6.NS.A.1

3.

FLASHCARD QUESTION

Front

What is the reciprocal of a fraction?

Back

4.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.6.NS.A.1

5.

FLASHCARD QUESTION

Front

What is the first step in dividing fractions?

Back

The first step in dividing fractions is to find the reciprocal of the second fraction.

Tags

CCSS.6.NS.A.1

6.

FLASHCARD QUESTION

Front

What is the formula for dividing fractions?

Back

Tags

CCSS.6.NS.A.1

7.

FLASHCARD QUESTION

Front

If you divide a fraction by a whole number, what do you do?

Back

To divide a fraction by a whole number, convert the whole number to a fraction (with a denominator of 1) and then multiply by the reciprocal of that fraction.

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