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 result of $$15 \div \frac{1}{3}$$ ?

The result is $$15 \times 3 = 45$$ .

If Patrick cuts $$\frac{1}{4}$$ inch pieces from an 8 inch piece, how many pieces can he cut?

He can cut 32 pieces, since $$8 \div \frac{1}{4} = 8 \times 4 = 32$$ .

How do you find the total amount when multiplying a fraction by a whole number?

Multiply the fraction by the whole number: For example, $$\frac{2}{3} \times 3 = \frac{6}{3} = 2$$ .

What is $$5 \div \frac{1}{6}$$ ?

The result is 30, since $$5 \times 6 = 30$$ .

What is the product of $$\frac{2}{7} \times \frac{2}{3}$$ ?

The product is $$\frac{4}{21}$$ , which simplifies to $$\frac{3}{7}$$ .

What does it mean to reduce a fraction?

Reducing a fraction means simplifying it to its lowest terms.

What is a mixed number?

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

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

Divide the numerator by the denominator. The quotient is the whole number, and the remainder is the new numerator.

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

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

Multiplying and 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

How do you multiply fractions?

Back

3.

FLASHCARD QUESTION

Front

What does it mean to divide by a fraction?

Back

4.

FLASHCARD QUESTION

Front

What is the reciprocal of a fraction?

Back

5.

FLASHCARD QUESTION

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common divisor (GCD).

6.

FLASHCARD QUESTION

Front

What is the greatest common divisor (GCD)?

Back

The GCD of two numbers is the largest number that divides both of them without leaving a remainder.

7.

FLASHCARD QUESTION

Front

Back

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