Multiplying and Dividing 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 multiply two rational numbers?

Back

To multiply two rational numbers, multiply their numerators together and their denominators together. Simplify the result if possible.

Front

What is the simplest form of a fraction?

Back

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

Front

How do you divide two rational numbers?

Back

To divide two rational numbers, multiply the first number by the reciprocal of the second number.

Front

What is the reciprocal of a number?

Back

The reciprocal of a number is 1 divided by that number. For a fraction, it is obtained by swapping the numerator and denominator.

Front

If you multiply a positive rational number by a negative rational number, what is the sign of the product?

Back

The product will be negative.

Front

If you divide a negative rational number by a positive rational number, what is the sign of the quotient?

Back

The quotient will be negative.

Front

What is the area of a rectangle?

Back

The area of a rectangle is found by multiplying its length by its width.

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 result over the original denominator.

Front

What is the formula to find the area of a rectangle with mixed number dimensions?

Back

Convert the mixed numbers to improper fractions, multiply them, and simplify the result.