Multiplying 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 product of (-a)(-b)?

Back

The product of two negative numbers is positive, so (-a)(-b) = ab.

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

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 convert an improper fraction to a mixed number?

Back

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient is the whole number, and the remainder is the new numerator.

Front

What is the result of multiplying 1/2 by 3/4?

Back

1/2 * 3/4 = 3/8.

Front

If you multiply a fraction by 1, what happens?

Back

Multiplying a fraction by 1 does not change its value; the result is the same fraction.

Front

What is the result of multiplying 5/6 by 2/3?

Back

5/6 * 2/3 = 10/18, which simplifies to 5/9.

Front

How do you find the product of two fractions?

Back

Multiply the numerators together and the denominators together, then simplify if necessary.