What is the first step in solving $$\frac{a}{\frac{b}{c}}$$ ?

The first step is to multiply the numerator by the reciprocal of the denominator, which gives $$a \times \frac{c}{b}$$ .

How do you convert $$\frac{8}{6}$$ to a simpler form?

Divide both the numerator and the denominator by their greatest common divisor (GCD), which is 2, resulting in $$\frac{4}{3}$$ .

How do you divide fractions?

To divide fractions, multiply by the reciprocal of the divisor. For example, $$\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$$ .

What is the result of $$\frac{\frac{6}{5}}{8}$$ ?

The result is $$\frac{3}{20}$$ .

How do you express $$\frac{7}{4}$$ divided by $$\frac{5}{8}$$ as a single fraction?

Multiply by the reciprocal: $$\frac{7}{4} \times \frac{8}{5} = \frac{56}{20}$$ .

What is the simplified form of $$\frac{56}{20}$$ ?

The simplified form is $$\frac{14}{5}$$ .

What does it mean to simplify a fraction?

To simplify a fraction means to reduce it to its lowest terms, where the numerator and denominator have no common factors other than 1.

What is the process to convert $$\frac{7}{5}$$ divided by $$\frac{6}{2}$$ into a simpler fraction?

Convert to multiplication by the reciprocal: $$\frac{7}{5} \times \frac{2}{6} = \frac{14}{30}$$ , which simplifies to $$\frac{7}{15}$$ .

Why is it important to understand complex fractions?

Understanding complex fractions is important for solving real-world problems involving rates, ratios, and proportions.

Complex Fractions to Unit Rate Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a complex fraction?

Back

A complex fraction is a fraction where the numerator, the denominator, or both contain fractions.

2.

FLASHCARD QUESTION

Front

How do you simplify a complex fraction?

Back

To simplify a complex fraction, multiply the numerator and the denominator by the least common denominator (LCD) of the fractions within.

3.

FLASHCARD QUESTION

Front

What is the unit rate?

Back

The unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per 1'.

4.

FLASHCARD QUESTION

Front

How do you find the unit rate from a complex fraction?

Back

To find the unit rate from a complex fraction, simplify the fraction to express it as a ratio of two numbers, then divide to find the rate per one unit.

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

What is the reciprocal of a fraction?

Back

7.

FLASHCARD QUESTION

Front

Back

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