Multiply and Divide Fractions and Mixed Numbers

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 multiply a mixed number by a fraction?

Back

Convert the mixed number to an improper fraction, then multiply it by the fraction. Simplify the result if possible.

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. Simplify if possible.

Front

How do you divide a mixed number by a fraction?

Back

Convert the mixed number to an improper fraction, then multiply by the reciprocal of the fraction. Simplify the result if possible.

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction.

Front

How do you convert a mixed number to an improper fraction?

Back

Multiply the whole number by the denominator, add the numerator, and place that result over the original denominator.

Front

What does it mean to simplify a fraction?

Back

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

Front

What is the least common multiple (LCM) and how is it used in fraction operations?

Back

The least common multiple is the smallest multiple that two or more numbers share. It is used to find a common denominator when adding or subtracting fractions.

Front

What is the greatest common factor (GCF) and how is it used in fraction operations?

Back

The greatest common factor is the largest factor that two or more numbers share. It is used to simplify fractions.