How do you divide $$\frac{7}{10}$$ by $$\frac{1}{5}$$ ?

To divide $$\frac{7}{10}$$ by $$\frac{1}{5}$$ , multiply $$\frac{7}{10}$$ by the reciprocal of $$\frac{1}{5}$$ , which is $$5$$ . So, $$\frac{7}{10} \times 5 = 3\frac{1}{2}$$ .

How do you divide $$\frac{3}{7}$$ by $$\frac{4}{9}$$ ?

To divide $$\frac{3}{7}$$ by $$\frac{4}{9}$$ , multiply $$\frac{3}{7}$$ by the reciprocal of $$\frac{4}{9}$$ , which is $$\frac{9}{4}$$ . So, $$\frac{3}{7} \times \frac{9}{4} = \frac{27}{28}$$ .

What is the formula for dividing fractions?

The formula for dividing fractions is: $$\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$$ .

What does it mean to multiply by the reciprocal?

Multiplying by the reciprocal means to take a fraction and multiply it by another fraction that is flipped. For example, multiplying by $$\frac{1}{2}$$ is the same as dividing by 2.

What is an example of dividing a whole number by a fraction?

An example is $$6 \div \frac{1}{3}$$ , which equals $$6 \times 3 = 18$$ .

What is the result of dividing a fraction by a whole number?

Dividing a fraction by a whole number involves multiplying the fraction by the reciprocal of the whole number.

How do you simplify the division of fractions?

To simplify, always convert mixed numbers to improper fractions before dividing.

What is a mixed number?

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

What is an improper fraction?

An improper fraction is a fraction where the numerator is greater than or equal to the denominator, such as $$\frac{5}{4}$$ .

Why is it important to understand dividing fractions?

Understanding dividing fractions is essential for solving real-world problems involving ratios, proportions, and measurements.

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Flashcard

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Mathematics

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5th Grade

•

Practice Problem

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Easy

•

CCSS

6.NS.A.1, 5.NF.B.7C, 3.NF.A.3C

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FLASHCARD QUESTION

Front

What is dividing fractions?

Back

Dividing fractions involves multiplying the first fraction by the reciprocal of the second fraction.

Tags

CCSS.6.NS.A.1

FLASHCARD QUESTION

Front

What is the reciprocal of a fraction?

Back

FLASHCARD QUESTION

Front

Back

Tags

CCSS.6.NS.A.1

FLASHCARD QUESTION

Front

Back

Tags

CCSS.5.NF.B.7A

CCSS.5.NF.B.7C

FLASHCARD QUESTION

Front

Back

Tags

CCSS.5.NF.B.7B

CCSS.5.NF.B.7C

FLASHCARD QUESTION

Front

Back

Tags

CCSS.6.NS.A.1

FLASHCARD QUESTION

Front

Back

Tags

CCSS.5.NF.B.7A

CCSS.5.NF.B.7C

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