Multiplying/Dividing Rational Numbers

Front

What are rational numbers?

Back

Rational numbers are numbers 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. Then simplify the resulting fraction if possible.

Front

What is the process for dividing rational numbers?

Back

To divide rational numbers, multiply the first rational number by the reciprocal of the second rational number. Then simplify the resulting fraction if possible.

Front

What does it mean to simplify a fraction?

Back

Simplifying a fraction means reducing it to its lowest terms, where the numerator and denominator have no common factors other than 1.

Front

What is the simplest form of a fraction?

Back

The simplest form of a fraction is when the numerator and denominator are as small as possible, meaning they have no common factors other than 1.

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 product of 3/4 and 2/5?

Back

The product of 3/4 and 2/5 is (3*2)/(4*5) = 6/20, which simplifies to 3/10.

Front

What is the quotient of 1/2 divided by 3/4?

Back

The quotient of 1/2 divided by 3/4 is 1/2 * 4/3 = 4/6, which simplifies to 2/3.

Front

How do you find the least common denominator (LCD) of two fractions?

Back

To find the least common denominator, identify the least common multiple (LCM) of the denominators of the fractions.

Front

What is the least common multiple (LCM) of 4 and 6?

Back

The least common multiple of 4 and 6 is 12.