Multiplying/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.

Tags

CCSS.5.NBT.A.2

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.

Tags

CCSS.7.NS.A.2C

Front

What is the process for dividing rational numbers?

Back

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

Tags

CCSS.7.NS.A.2C

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 reciprocal of a fraction?

Back

The reciprocal of a fraction is obtained by swapping its numerator and denominator.

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 the result over the original denominator.

Front

What is the least common denominator (LCD)?

Back

The least common denominator is the smallest multiple that is common to the denominators of two or more fractions.

Front

How do you find the least common multiple (LCM) of two numbers?

Back

To find the least common multiple of two numbers, list the multiples of each number and identify the smallest multiple that appears in both lists.

Front

What is the difference between proper and improper fractions?

Back

A proper fraction has a numerator that is less than its denominator, while an improper fraction has a numerator that is greater than or equal to its denominator.

Tags

CCSS.3.NF.A.2B

CCSS.3.NF.A.1

Front

What is the result of multiplying a negative rational number by a positive rational number?

Back

The result of multiplying a negative rational number by a positive rational number is a negative rational number.

Tags

CCSS.7.NS.A.2A