Adding Mixed Numbers with Unlike Denominators

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 2 1/3.

Front

How do you add mixed numbers with unlike denominators?

Back

To add mixed numbers with unlike denominators, first convert them to improper fractions, find a common denominator, add the fractions, and then convert back to a mixed number if necessary.

Front

What is the first step in adding mixed numbers?

Back

The first step is to convert each mixed number into an improper fraction.

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator, such as 9/4.

Front

How do you find a common denominator for fractions?

Back

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

Front

What is the least common multiple (LCM)?

Back

The least common multiple (LCM) of two or more numbers is the smallest number that is a multiple of each of the numbers.

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 sum over the original denominator.

Front

What is the process for adding fractions?

Back

To add fractions, ensure they have a common denominator, then add the numerators and keep the common denominator.

Front

What is the final step after adding mixed numbers?

Back

The final step is to simplify the result, if necessary, and convert back to a mixed number if the result is an improper fraction.

Front

What is the importance of simplifying fractions?

Back

Simplifying fractions makes them easier to understand and work with, and it is often required in final answers.