Adding and Subtracting 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 1/2.

Front

How do you add mixed numbers with unlike denominators?

Back

1. Convert mixed numbers to improper fractions. 2. Find a common denominator. 3. Add the fractions. 4. Convert back to a mixed number if necessary.

Front

How do you subtract mixed numbers with unlike denominators?

Back

1. Convert mixed numbers to improper fractions. 2. Find a common denominator. 3. Subtract the fractions. 4. Convert back to a mixed number if necessary.

Front

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

Back

Convert the mixed numbers to improper fractions.

Front

What is a common denominator?

Back

A common denominator is a shared multiple of the denominators of two or more fractions, allowing them to be added or subtracted.

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 the result over the original denominator.

Front

What is the improper fraction for the mixed number 3 1/4?

Back

The improper fraction is 13/4.

Front

What is the improper fraction for the mixed number 2 2/5?

Back

The improper fraction is 12/5.

Front

How do you simplify a fraction?

Back

Divide the numerator and the denominator by their greatest common divisor (GCD).

Front

What is the GCD of 8 and 12?

Back

The GCD of 8 and 12 is 4.