What is the product of $$\frac{1}{4}$$ and 6?

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

What is the relationship between multiplication and division of fractions?

Multiplying by a fraction is the same as dividing by its reciprocal. For example, $$\frac{1}{2} \times 4 = 4 \times \frac{1}{2} = 2$$ .

How do you find $$\frac{3}{4}$$ of a whole number, say 16?

To find $$\frac{3}{4}$$ of 16, multiply: $$\frac{3}{4} \times 16 = \frac{3 \times 16}{4} = \frac{48}{4} = 12$$ .

What is the area of a rectangle with length 5 and width $$\frac{3}{4}$$ ?

The area is found by multiplying length and width: $$5 \times \frac{3}{4} = \frac{15}{4} = 3 \frac{3}{4}$$ .

What is the difference between a proper fraction and an improper fraction?

A proper fraction has a numerator smaller than the denominator (e.g., $$\frac{2}{3}$$ ), while an improper fraction has a numerator larger than or equal to the denominator (e.g., $$\frac{5}{4}$$ ).

How do you add fractions with different denominators?

To add fractions with different denominators, find a common denominator, convert the fractions, and then add the numerators. For example, to add $$\frac{1}{3} + \frac{1}{4}$$ , the common denominator is 12: $$\frac{4}{12} + \frac{3}{12} = \frac{7}{12}$$ .

What is the formula for finding the total amount when multiplying a fraction by a whole number?

The formula is: Total Amount = Whole Number × Fraction. For example, if you have 5 and want to find $$\frac{2}{3}$$ of it, you calculate: $$5 \times \frac{2}{3} = \frac{10}{3} = 3 \frac{1}{3}$$ .

How do you solve $$16 \times \frac{3}{5}$$ ?

To solve, multiply: $$16 \times \frac{3}{5} = \frac{16 \times 3}{5} = \frac{48}{5} = 9 \frac{3}{5}$$ .

Multiply Fractions by Whole Numbers Flashcards

Student preview

14 questions

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1.

FLASHCARD QUESTION

Front

What is a fraction?

Back

A fraction represents a part of a whole. It consists of a numerator (top number) and a denominator (bottom number). For example, in the fraction 1/2, 1 is the numerator and 2 is the denominator.

2.

FLASHCARD QUESTION

Front

How do you multiply a fraction by a whole number?

Back

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

What does it mean to simplify a fraction?

Back

5.

FLASHCARD QUESTION

Front

What is a mixed number?

Back

6.

FLASHCARD QUESTION

Front

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

Back

7.

FLASHCARD QUESTION

Front

What is the reciprocal of a fraction?

Back

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