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?

Back

Unlike denominators are denominators that are not the same. For example, in the fractions 1/3 and 1/4, the denominators 3 and 4 are unlike.

Front

How do you add fractions with unlike denominators?

Back

To add fractions with unlike denominators, first find a common denominator, convert each fraction to an equivalent fraction with that denominator, and then add the numerators.

Front

What is the least common denominator (LCD)?

Back

The least common denominator (LCD) is the smallest multiple that two or more denominators share. It is used to find a common denominator for adding or subtracting fractions.

Front

How do you subtract fractions with unlike denominators?

Back

To subtract fractions with unlike denominators, find a common denominator, convert each fraction to an equivalent fraction with that denominator, and then subtract the numerators.

Front

What is the first step in adding 1/9 + 2/27?

Back

The first step is to find the least common denominator (LCD), which is 27 in this case.

Front

What is the result of 1/3 - 1/8?

Back

The result is 5/24 after finding a common denominator and subtracting the numerators.

Front

How do you simplify the fraction 15/30?

Back

To simplify 15/30, divide both the numerator and denominator by their greatest common factor, which is 15, resulting in 1/2.

Front

What is the sum of 3/8 + 2/4?

Back

The sum is 7/8 after converting 2/4 to 4/8 and adding the numerators.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 2 1/2.