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.

How do you simplify the fraction $$\frac{6}{40}$$ ?

Divide both the numerator and denominator by their greatest common divisor (GCD), which is 2: $$\frac{6 \div 2}{40 \div 2} = \frac{3}{20}$$ .

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

Multiply by the reciprocal: $$\frac{1}{2} \times \frac{4}{3} = \frac{4}{6} = \frac{2}{3}$$ .

How do you multiply a mixed number by a fraction?

Convert the mixed number to an improper fraction, then multiply: For example, 3 3/4 = $$\frac{15}{4}$$ , then multiply by the fraction.

What is the result of $$3 \frac{3}{4} \times 2 \frac{1}{5}$$ ?

Convert to improper fractions: $$\frac{15}{4} \times \frac{11}{5} = \frac{165}{20} = 8 \frac{1}{4}$$ .

How do you find the quotient of mixed numbers?

Convert mixed numbers to improper fractions, then divide by multiplying by the reciprocal.

What is the product of $$\frac{1}{8} \times \frac{3}{4}$$ ?

Multiply the numerators and denominators: $$\frac{1 \times 3}{8 \times 4} = \frac{3}{32}$$ .

What is a reciprocal?

The reciprocal of a fraction $$\frac{a}{b}$$ is $$\frac{b}{a}$$ .

How do you check if a fraction is in simplest form?

Check if the numerator and denominator have any common factors other than 1.

What is the importance of finding the least common denominator (LCD)?

The LCD is used to add or subtract fractions with different denominators.

Multiplying and Dividing Fractions and Mixed Numbers Classwork 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

How do you multiply fractions?

Back

Tags

CCSS.5.NF.B.6

3.

FLASHCARD QUESTION

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction, such as 2 1/2.

Tags

CCSS.3.NF.A.3C

4.

FLASHCARD QUESTION

Front

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

Back

5.

FLASHCARD QUESTION

Front

What is the process for dividing fractions?

Back

Tags

CCSS.6.NS.A.1

6.

FLASHCARD QUESTION

Front

What is the simplest form of a fraction?

Back

A fraction is in simplest form when the numerator and denominator have no common factors other than 1.

7.

FLASHCARD QUESTION

Front

Back

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