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.

What is the product of $$\frac{1}{7}$$ and 6?

The product is $$\frac{6}{7}$$ .

What is the product of $$\frac{2}{3}$$ and $$\frac{4}{5}$$ ?

The product is $$\frac{2 \times 4}{3 \times 5} = \frac{8}{15}$$ .

How do you simplify the fraction $$\frac{10}{15}$$ ?

To simplify $$\frac{10}{15}$$ , divide both the numerator and denominator by their greatest common divisor, which is 5. The simplified fraction is $$\frac{2}{3}$$ .

What is the greatest common divisor (GCD)?

The GCD is the largest number that divides two or more numbers without leaving a remainder. For example, the GCD of 8 and 12 is 4.

What is the least common multiple (LCM)?

The LCM is the smallest multiple that two or more numbers share. For example, the LCM of 3 and 4 is 12.

How do you multiply two fractions?

To multiply two fractions, multiply the numerators together and the denominators together. For example, $$\frac{2}{5} \times \frac{3}{4} = \frac{2 \times 3}{5 \times 4} = \frac{6}{20} = \frac{3}{10}$$ .

What is a reciprocal?

A reciprocal of a fraction $$\frac{a}{b}$$ is $$\frac{b}{a}$$ . For example, the reciprocal of $$\frac{3}{4}$$ is $$\frac{4}{3}$$ .

How do you find the reciprocal of a whole number?

To find the reciprocal of a whole number 'n', write it as a fraction with 1 as the numerator: $$n = \frac{n}{1}$$ , so its reciprocal is $$\frac{1}{n}$$ .

What is the relationship between multiplication and division of fractions?

Multiplication of fractions is straightforward, while division of fractions involves multiplying by the reciprocal. For example, to divide $$\frac{2}{3}$$ by $$\frac{4}{5}$$ , you multiply by the reciprocal: $$\frac{2}{3} \div \frac{4}{5} = \frac{2}{3} \times \frac{5}{4} = \frac{10}{12} = \frac{5}{6}$$ .

What is a common denominator?

A common denominator is a shared multiple of the denominators of two or more fractions, allowing them to be added or subtracted. For example, the common denominator of $$\frac{1}{4}$$ and $$\frac{1}{6}$$ is 12.

Multiplying Fractions & Whole Numbers 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 a fraction by a whole number?

Back

Tags

CCSS.4.NF.B.4B

CCSS.4.NF.B.4C

3.

FLASHCARD QUESTION

Front

What is an improper fraction?

Back

Tags

CCSS.3.NF.A.3C

4.

FLASHCARD QUESTION

Front

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

Back

5.

FLASHCARD QUESTION

Front

What is a mixed number?

Back

Tags

CCSS.3.NF.A.3C

6.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.4.NF.B.4B

CCSS.4.NF.B.4C

7.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.5.NF.B.6

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