Rational Numbers Review

Front

What is a rational number?

Back

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

Front

How do you add two rational numbers with different denominators?

Back

To add two rational numbers with different denominators, first find a common denominator, convert each fraction to an equivalent fraction with that denominator, 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 multiply the denominators together. The result is a new fraction.

Front

What is the reciprocal of a rational number?

Back

The reciprocal of a rational number a/b is b/a, provided that a and b are not zero.

Front

How do you divide one rational number by another?

Back

To divide one rational number by another, multiply the first number by the reciprocal of the second number.

Front

What is the simplest form of a rational number?

Back

The simplest form of a rational number is when the numerator and denominator have no common factors other than 1.

Front

How can 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 the difference between proper and improper fractions?

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 compare two rational numbers?

Back

To compare two rational numbers, convert them to a common denominator or convert them to decimal form and then compare their values.