How do you add rational numbers with different denominators?

To add rational numbers with different denominators, find a common denominator, convert the fractions, and then add the numerators. For example, $$\frac{1}{4} + \frac{1}{6} = \frac{3}{12} + \frac{2}{12} = \frac{5}{12}$$ .

What is the rule for multiplying rational numbers?

To multiply rational numbers, multiply the numerators together and the denominators together. For example, $$\frac{2}{3} \times \frac{4}{5} = \frac{2 \times 4}{3 \times 5} = \frac{8}{15}$$ .

What is a reciprocal of a rational number?

The reciprocal of a rational number is obtained by flipping the numerator and denominator. For example, the reciprocal of $$\frac{3}{4}$$ is $$\frac{4}{3}$$ .

How do you subtract rational numbers?

To subtract rational numbers, find a common denominator, convert the fractions, and then subtract the numerators. For example, $$\frac{5}{6} - \frac{1}{3} = \frac{5}{6} - \frac{2}{6} = \frac{3}{6} = \frac{1}{2}$$ .

What is the significance of zero in rational numbers?

Zero is a rational number because it can be expressed as $$\frac{0}{1}$$ . It is the additive identity, meaning any rational number plus zero equals the original number.

How do you simplify a fraction?

To simplify a fraction, divide the numerator and the denominator by their greatest common divisor (GCD). For example, $$\frac{8}{12} = \frac{8 \text{ ÷ } 4}{12 \text{ ÷ } 4} = \frac{2}{3}$$ .

What is the relationship between rational numbers and integers?

All integers are rational numbers because they can be expressed as fractions with a denominator of 1. For example, $$5 = \frac{5}{1}$$ .

Rational Number Operations Flashcards

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14 questions

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1.

FLASHCARD QUESTION

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

2.

FLASHCARD QUESTION

Front

What is the sum of two rational numbers?

Back

3.

FLASHCARD QUESTION

Front

What is the product of two negative rational numbers?

Back

4.

FLASHCARD QUESTION

Front

How do you divide a rational number by a non-zero rational number?

Back

5.

FLASHCARD QUESTION

Front

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

Back

6.

FLASHCARD QUESTION

Front

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

Back

7.

FLASHCARD QUESTION

Front

What is the absolute value of a rational number?

Back

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