Adding and Subtracting Fractions With Different 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 different denominators in fractions?

Back

Different denominators mean that the fractions represent parts of different-sized wholes, making direct addition or subtraction impossible without finding 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 two denominators.

Front

What is the process for adding fractions with different denominators?

Back

1. Find a common denominator. 2. Convert each fraction to an equivalent fraction with the common denominator. 3. Add the numerators and keep the common denominator.

Front

What is the process for subtracting fractions with different denominators?

Back

1. Find a common denominator. 2. Convert each fraction to an equivalent fraction with the common denominator. 3. Subtract the numerators and keep the common denominator.

Front

What is the least common multiple (LCM)?

Back

The least common multiple is the smallest multiple that two or more numbers share.

Front

How do you convert a fraction to an equivalent fraction?

Back

To convert a fraction to an equivalent fraction, multiply both the numerator and the denominator by the same non-zero number.

Front

What is the importance of simplifying fractions?

Back

Simplifying fractions makes them easier to understand and work with, and it helps in finding the simplest form of the fraction.

Front

What is the simplified form of 8/12?

Back

The simplified form of 8/12 is 2/3.

Front

How do you simplify a fraction?

Back

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