Adding & Subtracting Mixed Numbers with Unlike Denominators

Front

What is a mixed number?

Back

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

Front

How do you find the lowest common denominator (LCD)?

Back

To find the LCD, list the multiples of each denominator and find the smallest multiple they have in common.

Front

What is the first step in adding or subtracting mixed numbers with unlike denominators?

Back

The first step is to find the lowest common denominator (LCD) for the fractions.

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 process for subtracting mixed numbers?

Back

1. Convert mixed numbers to improper fractions. 2. Find the LCD. 3. Adjust fractions to have the same denominator. 4. Subtract the numerators. 5. Simplify if necessary.

Front

Example of subtracting mixed numbers: 5 3/4 - 2 1/4 = ?

Back

3 2/4 or 3 1/2.

Front

What do you do if the numerator is smaller than the denominator when subtracting?

Back

You may need to borrow 1 from the whole number part of the mixed number.

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 simplify a fraction?

Back

Divide the numerator and the denominator by their greatest common factor (GCF).

Front

What is the result of 8 5/7 - 7 2/3?

Back

1 1/21.