Adding and Subtracting Fractions with unlike Denominators

Front

What is a fraction?

Back

A fraction represents a part of a whole and consists of a numerator (top number) and a denominator (bottom number).

Front

What does it mean to have unlike denominators in fractions?

Back

Unlike denominators are denominators that are not the same. To add or subtract fractions with unlike denominators, you must first find a common denominator.

Front

How do you find a common denominator for two fractions?

Back

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

Front

What is the first step in adding fractions with unlike denominators?

Back

The first step is to find a common denominator for the fractions.

Front

How do you convert fractions to have a common denominator?

Back

Multiply the numerator and denominator of each fraction by the necessary factor to make the denominators equal.

Front

What is the process for adding fractions once they have a common denominator?

Back

Add the numerators together while keeping the common denominator the same.

Front

What is the process for subtracting fractions with a common denominator?

Back

Subtract the numerators while keeping the common denominator the same.

Front

What should you do if the result of adding or subtracting fractions can be simplified?

Back

If the result can be simplified, divide both the numerator and denominator by their greatest common divisor (GCD).

Front

What is the greatest common divisor (GCD)?

Back

The GCD is the largest number that divides two or more numbers without leaving a remainder.

Front

Can you add or subtract mixed numbers directly?

Back

No, you must first convert mixed numbers to improper fractions before adding or subtracting.