Operations 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 result of adding a positive and a negative rational number?

Back

The result can be positive, negative, or zero, depending on the absolute values of the numbers.

Front

What happens when you subtract a larger rational number from a smaller one?

Back

The result will be negative.

Front

How do you multiply two rational numbers?

Back

Multiply the numerators together and the denominators together.

Front

What is the rule for dividing rational numbers?

Back

To divide by a rational number, multiply by its reciprocal.

Front

What is the result of multiplying a negative rational number by a positive rational number?

Back

The result is a negative rational number.

Front

What is the result of multiplying two negative rational numbers?

Back

The result is a positive rational number.

Front

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

Back

Multiply the whole number by the denominator, add the numerator, and place that over the original denominator.

Front

What is the process for simplifying a fraction?

Back

Divide the numerator and the denominator by their greatest common divisor (GCD).