ADD, SUBTRACT, MULTIPLY, DIVIDE RATIONALS Review

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?

Back

To add two rational numbers, find a common denominator, convert the fractions, and then add the numerators while keeping the common denominator.

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 while keeping the common denominator.

Front

What is the least common denominator (LCD)?

Back

The least common denominator is the smallest multiple that is common to the denominators of two or more fractions.

Front

How do you multiply two rational numbers?

Back

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

Front

What is the rule for dividing rational numbers?

Back

To divide by a rational number, multiply by its reciprocal (invert the second fraction and multiply).

Front

What is the formula for adding fractions?

Back

For fractions a/b and c/d, the formula is (a/b) + (c/d) = (ad + bc) / bd.

Front

What is the formula for subtracting fractions?

Back

For fractions a/b and c/d, the formula is (a/b) - (c/d) = (ad - bc) / bd.

Front

How do you simplify a rational expression?

Back

To simplify a rational expression, factor the numerator and denominator and then cancel any common factors.

Front

What is an example of a rational expression?

Back

An example of a rational expression is (2x + 3)/(x - 1).