How do you divide $$\frac{2}{3}$$ by $$\frac{4}{5}$$ ?

Multiply $$\frac{2}{3}$$ by the reciprocal of $$\frac{4}{5}$$ : $$\frac{2}{3} \times \frac{5}{4} = \frac{10}{12} = \frac{5}{6}$$ .

What is the result of dividing $$\frac{3}{4}$$ by $$\frac{1}{2}$$ ?

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

How do you simplify the fraction $$\frac{10}{12}$$ ?

Divide both the numerator and denominator by their greatest common divisor (GCD), which is 2: $$\frac{10 \div 2}{12 \div 2} = \frac{5}{6}$$ .

What is the simplest form of $$\frac{8}{12}$$ ?

$$\frac{8}{12} = \frac{2}{3}$$ after dividing both by 4.

What does it mean to write a fraction in simplest form?

Writing a fraction in simplest form means reducing it so that the numerator and denominator have no common factors other than 1.

How do you 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 1/2 becomes $$\frac{2 \times 2 + 1}{2} = \frac{5}{2}$$ .

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

To divide a whole number by a fraction, multiply the whole number by the reciprocal of the fraction.

What is the result of $$3 \div 4 \frac{1}{2}$$ ?

Convert 4 1/2 to an improper fraction: $$\frac{9}{2}$$ . Then, $$3 \div \frac{9}{2} = 3 \times \frac{2}{9} = \frac{6}{9} = \frac{2}{3}$$ .

What is the importance of finding the GCD when simplifying fractions?

Finding the GCD helps to reduce fractions to their simplest form, making them easier to work with.

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.

What is the result of dividing $$\frac{5}{6}$$ by $$\frac{2}{3}$$ ?

$$\frac{5}{6} \div \frac{2}{3} = \frac{5}{6} \times \frac{3}{2} = \frac{15}{12} = \frac{5}{4}$$ .

Dividing Fractions Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is dividing fractions?

Back

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

2.

FLASHCARD QUESTION

Front

What is the reciprocal of a fraction?

Back

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

What is the first step in dividing fractions?

Back

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

7.

FLASHCARD QUESTION

Front

If Kyndal has 12 1/2 pounds of chocolate, how do you divide it among 3 people?

Back

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