Flashcard #3: Computing 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 fractions with different denominators?

Back

To add fractions with different denominators, find a common denominator, convert the fractions, and then add the numerators.

Front

What is the process to subtract fractions?

Back

To subtract fractions, ensure they have a common denominator, then subtract the numerators and keep the common denominator.

Front

How do you multiply two fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together.

Front

What is the formula for dividing fractions?

Back

To divide fractions, multiply by the reciprocal of the second fraction.

Front

What is the least common multiple (LCM)?

Back

The least common multiple is the smallest multiple that is exactly divisible by two or more numbers.

Front

What is the greatest common divisor (GCD)?

Back

The greatest common divisor is the largest positive integer that divides each of the given integers without leaving a remainder.

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 that over the original denominator.

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 that is greater 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.