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 divide a negative number by a positive number?

Back

When you divide a negative number by a positive number, the result is negative.

Front

What is the result of multiplying two fractions?

Back

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

Front

What is the product of a positive number and a negative number?

Back

The product of a positive number and a negative number is negative.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common divisor (GCD).

Front

What is the process for dividing decimals?

Back

To divide decimals, move the decimal point in the divisor to the right until it is a whole number, and move the decimal point in the dividend the same number of places. Then divide as usual.

Front

What is the formula for dividing fractions?

Back

To divide fractions, multiply by the reciprocal of the divisor. For example, a/b ÷ c/d = a/b × d/c.

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 result of multiplying two negative numbers?

Back

The product of two negative numbers is positive.

Front

How do you find the least common denominator (LCD) for adding or subtracting fractions?

Back

To find the least common denominator, list the multiples of each denominator and find the smallest multiple that is common to both.