Adding and Subtracting Mixed Numbers

Front

What is a mixed number?

Back

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

Front

How do you add mixed numbers?

Back

To add mixed numbers, first add the whole numbers, then add the fractions. If the fractions have different denominators, find a common denominator.

Front

What is the lowest common denominator (LCD)?

Back

The lowest common denominator is the smallest number that can be used as a common denominator for two or more fractions.

Front

How do you find the lowest common denominator?

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 subtracting mixed numbers?

Back

The first step is to convert any improper fractions to mixed numbers if necessary.

Front

How do you subtract mixed numbers?

Back

To subtract mixed numbers, subtract the whole numbers and the fractions separately. If the fraction from the top is smaller, borrow from the whole number.

Front

Why can't we just add the numerators and denominators when adding fractions?

Back

Because the size of the pieces is different; you need a common denominator to ensure the fractions are compatible.

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 5/4.

Front

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

Back

Divide the numerator by the denominator. The quotient is the whole number, and the remainder over the original denominator is the fraction.

Front

What is the result of 8 4/5 + 9 1/10?

Back

The result is 17 9/10.