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 $$\frac{2}{10}$$ ?

Divide both the numerator and denominator by their greatest common divisor (GCD), which is 2: $$\frac{2 \div 2}{10 \div 2} = \frac{1}{5}$$ .

What is the result of $$\frac{5}{6} \div \frac{2}{3}$$ ?

The result is $$\frac{5}{6} \times \frac{3}{2} = \frac{15}{12} = 1 \frac{1}{4}$$ .

How do you convert $$7 \div \frac{6}{7}$$ into a mixed number?

Convert to an improper fraction: $$7 = \frac{7}{1}$$ , then multiply by the reciprocal: $$\frac{7}{1} \times \frac{7}{6} = \frac{49}{6} = 8 \frac{1}{6}$$ .

What is the first step in multiplying a mixed number by a fraction?

Convert the mixed number to an improper fraction before multiplying.

What is the importance of finding a common denominator when adding or subtracting fractions?

A common denominator allows you to combine fractions easily by ensuring they are expressed in terms of the same whole.

What is the result of multiplying $$2 \frac{1}{4} \times \frac{4}{6}$$ ?

Convert to an improper fraction: $$\frac{9}{4} \times \frac{4}{6} = \frac{36}{24} = 1 \frac{1}{2}$$ .

What is the relationship between multiplication and division of fractions?

Multiplication of fractions increases the value, while division of fractions decreases the value, as you are essentially finding how many times one fraction fits into another.

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

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

Multiplying and Dividing Fractions and Mixed Numbers Flashcards

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14 questions

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1.

FLASHCARD QUESTION

Front

What is a fraction?

Back

2.

FLASHCARD QUESTION

Front

How do you multiply two fractions?

Back

3.

FLASHCARD QUESTION

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction, such as 2 1/4.

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

6.

FLASHCARD QUESTION

Front

What does it mean to simplify a fraction?

Back

Simplifying a fraction means reducing it to its lowest terms, where the numerator and denominator have no common factors other than 1.

7.

FLASHCARD QUESTION

Front

Back

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