Multiply and Divide Fractions Word Problems

Front

What is a fraction?

Back

A fraction represents a part of a whole and consists of a numerator (top number) and a denominator (bottom number).

Front

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. Simplify if possible.

Front

How do you divide fractions?

Back

To divide fractions, multiply by the reciprocal of the divisor. That is, flip the second fraction and multiply.

Front

What is a mixed number?

Back

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

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 over the original denominator.

Front

What is the least common denominator (LCD)?

Back

The least common denominator is the smallest multiple that two or more denominators share.

Front

How do you find the least common denominator?

Back

List the multiples of each denominator and find the smallest multiple that appears in both lists.

Front

What is the process for adding fractions with different denominators?

Back

Find the least common denominator, convert each fraction to an equivalent fraction with the LCD, and then add the numerators.

Front

What is the process for subtracting fractions with different denominators?

Back

Find the least common denominator, convert each fraction to an equivalent fraction with the LCD, and then subtract the numerators.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common factor (GCF).