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.

Solve: $$\frac{1}{2} \div \frac{1}{4}$$

$$\frac{1}{2} \times \frac{4}{1} = 2$$ .

Solve: $$\frac{3}{5} \div \frac{2}{3}$$

$$\frac{3}{5} \times \frac{3}{2} = \frac{9}{10}$$ .

What is a mixed number?

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

How do you convert a mixed number to an improper fraction?

Multiply the whole number by the denominator and add the numerator, then place that over the original denominator.

Solve: Convert 2 $$\frac{1}{3}$$ to an improper fraction.

$$2 \times 3 + 1 = 7, so 2 \frac{1}{3} = \frac{7}{3}$$ .

What is the importance of simplifying fractions?

Simplifying fractions makes them easier to understand and work with.

How do you simplify the fraction $$\frac{8}{12}$$ ?

Divide both the numerator and denominator by their greatest common divisor, which is 4. So, $$\frac{8}{12} = \frac{2}{3}$$ .

What is a common denominator?

A common denominator is a shared multiple of the denominators of two or more fractions.

Solve: Find a common denominator for $$\frac{1}{4}$$ and $$\frac{1}{6}$$ .

The least common denominator is 12. So, $$\frac{1}{4} = \frac{3}{12}$$ and $$\frac{1}{6} = \frac{2}{12}$$ .

DIVIDING FRACTIONS 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 divide fractions?

Back

Dividing fractions involves finding how many times one fraction fits into another.

3.

FLASHCARD QUESTION

Front

How do you divide fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction.

4.

FLASHCARD QUESTION

Front

What is the reciprocal of a fraction?

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

What is the result of dividing a fraction by 1?

Back

Dividing any fraction by 1 gives the same fraction.

7.

FLASHCARD QUESTION

Front

What is the result of dividing a fraction by itself?

Back

Dividing a fraction by itself equals 1, as long as the fraction is not zero.

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