Multiplying Rational Numbers: Fractions

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 fractions?

Back

To multiply two fractions, multiply the numerators together to get the new numerator, and multiply the denominators together to get the new denominator. Then simplify if possible.

Front

What is the product of two negative fractions?

Back

The product of two negative fractions is positive.

Front

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

Back

The product of a positive fraction and a negative fraction 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 greatest common divisor (GCD)?

Back

The greatest common divisor (GCD) of two or more integers is the largest positive integer that divides each of the integers without leaving a remainder.

Front

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

Back

The result is 3/8.

Front

What happens to the signs when multiplying fractions?

Back

When multiplying fractions, if both fractions are negative, the result is positive; if one is negative and the other is positive, the result is negative.

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 over the original denominator is the fractional part.

Front

What is the product of 5/6 and -4/7?

Back

The product is -20/42.