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

$$\frac{3 \times 2}{4 \times 5} = \frac{6}{20} = \frac{3}{10}$$ after simplification.

What is the result of $$\frac{5}{8} \times \frac{6}{7}$$ ?

$$\frac{5 \times 6}{8 \times 7} = \frac{30}{56}$$ .

What is the result of $$\frac{8}{21} \times \frac{6}{7}$$ ?

$$\frac{8 \times 6}{21 \times 7} = \frac{48}{147}$$ .

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. For example, $$\frac{8}{12} = \frac{2}{3}$$ after simplification.

What is the relationship between fractions and division?

Fractions can be interpreted as division. For example, $$\frac{3}{4}$$ can be seen as 3 divided by 4.

What is the result of multiplying a fraction by a whole number?

To multiply a fraction by a whole number, multiply the numerator by the whole number and keep the same denominator. For example, $$\frac{2}{3} \times 4 = \frac{2 \times 4}{3} = \frac{8}{3}$$ .

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

Convert to improper fractions: $$\frac{7}{2} \times \frac{8}{3} = \frac{7 \times 8}{2 \times 3} = \frac{56}{6} = 9 \frac{1}{3}$$ after simplification.

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

$$\frac{1 \times 3}{2 \times 4} = \frac{3}{8}$$ .

What is the result of $$\frac{2}{5} \times \frac{5}{6}$$ ?

$$\frac{2 \times 5}{5 \times 6} = \frac{10}{30} = \frac{1}{3}$$ after simplification.

What is the result of $$\frac{4}{9} \times \frac{3}{5}$$ ?

$$\frac{4 \times 3}{9 \times 5} = \frac{12}{45} = \frac{4}{15}$$ after simplification.

Multiplying Fractions and Mixed Numbers Flashcards

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14 questions

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1.

FLASHCARD QUESTION

Front

What is a fraction?

Back

A fraction represents a part of a whole and consists of a numerator (top number) and a denominator (bottom number). For example, in the fraction 3/4, 3 is the numerator and 4 is the denominator.

2.

FLASHCARD QUESTION

Front

How do you multiply fractions?

Back

3.

FLASHCARD QUESTION

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction. For example, 2 1/2 is a mixed number, where 2 is the whole number and 1/2 is the fraction.

4.

FLASHCARD QUESTION

Front

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

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

Back

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