Adding Unlike Denominators & Review

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 find the least common denominator (LCD) of two fractions?

Back

To find the least common denominator, list the multiples of each denominator and identify the smallest multiple that appears in both lists.

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

What does it mean to simplify a fraction?

Back

Simplifying a fraction means reducing it to its lowest terms, where the numerator and denominator have no common factors other than 1.

Front

What is the process for adding fractions with unlike denominators?

Back

1. Find a common denominator. 2. Convert each fraction to an equivalent fraction with the common denominator. 3. Add the numerators. 4. Simplify the resulting fraction if possible.

Front

What is a prime number?

Back

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.

Front

Can you give an example of adding two fractions with unlike denominators?

Back

Example: To add 1/3 and 1/4, find the common denominator (12), convert to 4/12 and 3/12, then add to get 7/12.

Front

What is the importance of finding a common denominator in fraction addition?

Back

Finding a common denominator is crucial because it allows fractions to be expressed in the same terms, making addition possible.

Front

What is the result of adding 1/2 and 1/3?

Back

The result is 5/6 after finding the common denominator (6), converting the fractions, and adding.

Front

How do you check if a fraction is in its simplest form?

Back

A fraction is in its simplest form if the greatest common divisor (GCD) of the numerator and denominator is 1.