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

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 subtracting mixed numbers with unlike denominators?

Back

The first step is to convert the mixed numbers to improper fractions.

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 process for reducing fractions?

Back

To reduce a fraction, divide the numerator and the denominator by their greatest common divisor (GCD).

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 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 result of 7 2/5 + 1 3/10?

Back

The result is 8 3/10.

Front

What is the result of 7 11/12 - 3 4/12?

Back

The result is 4 7/12.

Front

How do you simplify the fraction 11/24?

Back

The fraction 11/24 is already in simplest form as 11 and 24 have no common factors other than 1.