Problem Solving with Rational Numbers

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.

Front

How do you add two rational numbers with different denominators?

Back

To add two rational numbers with different denominators, find a common denominator, convert each fraction, and then add the numerators.

Front

What is the process for subtracting rational numbers?

Back

To subtract rational numbers, find a common denominator, convert the fractions, and then subtract the numerators.

Front

How do you multiply two rational numbers?

Back

To multiply two rational numbers, multiply the numerators together and the denominators together.

Front

What is the rule for dividing rational numbers?

Back

To divide rational numbers, multiply by the reciprocal of the divisor.

Front

What is the absolute value of a rational number?

Back

The absolute value of a rational number is its distance from zero on the number line, regardless of direction.

Front

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

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place the result over the original denominator.

Front

What is a common denominator?

Back

A common denominator is a shared multiple of the denominators of two or more fractions, used to perform operations like addition or subtraction.

Front

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

Back

A proper fraction has a numerator smaller than its denominator, while an improper fraction has a numerator larger than or equal to its denominator.

Front

How do you simplify a fraction?

Back

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