Adding and Subtracting Fractions

Front

What is the process for adding fractions with different denominators?

Back

To add fractions with different denominators, first find a common denominator. Convert each fraction to an equivalent fraction with the common denominator, then add the numerators and keep the common denominator.

Front

How do you subtract fractions?

Back

To subtract fractions, ensure they have a common denominator. If they don't, find a common denominator, convert the fractions, then subtract the numerators while keeping the common denominator.

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 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 least common denominator (LCD)?

Back

The least common denominator (LCD) is the smallest multiple that two or more denominators share.

Front

What is the result of adding a positive fraction to a negative fraction?

Back

The result depends on the absolute values of the fractions. If the positive fraction is larger, the result is positive; if the negative fraction is larger, the result is negative.

Front

How do you simplify a fraction?

Back

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

Front

What is the rule for subtracting a negative number?

Back

Subtracting a negative number is the same as adding its positive counterpart.

Front

What is the result of adding two negative fractions?

Back

The result of adding two negative fractions is always a negative fraction.

Front

How do you handle fractions when they are both improper?

Back

When adding or subtracting improper fractions, convert them to mixed numbers if necessary, or simply add/subtract the numerators and keep the common denominator.