Multiply and Divide Fractions

Front

What is the process for multiplying 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. Simplify if possible.

Front

How do you simplify a fraction?

Back

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

Front

What is the result of multiplying a fraction by a whole number?

Back

To multiply a fraction by a whole number, multiply the whole number by the numerator of the fraction and keep the same denominator.

Front

What is the process for dividing two fractions?

Back

To divide two fractions, multiply the first fraction by the reciprocal of the second fraction (flip the second fraction and then multiply).

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 2 1/2.

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 reciprocal of a fraction?

Back

The reciprocal of a fraction is obtained by flipping the numerator and denominator. For example, the reciprocal of 3/4 is 4/3.

Front

What does it mean to simplify a product of fractions?

Back

To simplify a product of fractions means to reduce the resulting fraction to its lowest terms by canceling common factors in the numerator and 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 denominator for 1/2 and 3/4?

Back

The least common denominator for 1/2 and 3/4 is 4, as it is the smallest multiple of both denominators.