Adding and Subtracting Fractions and Mixed Numbers

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 with different denominators?

Back

To subtract fractions with different denominators, find a common denominator, convert each fraction to an equivalent fraction with that denominator, then subtract the numerators and keep 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 1/3.

Front

How do you convert an improper fraction to a mixed number?

Back

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient becomes the whole number, and the remainder becomes the numerator of the proper fraction.

Front

What is the first step in adding mixed numbers?

Back

The first step in adding mixed numbers is to convert them to improper fractions.

Front

What is the least common denominator (LCD)?

Back

The least common denominator (LCD) is the smallest multiple that two or more denominators share, used to add or subtract fractions.

Front

How do you simplify a fraction?

Back

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

Front

What is the relationship between fractions and division?

Back

Fractions represent division; for example, the fraction 3/4 means 3 divided by 4.

Front

What is the formula for adding two fractions?

Back

The formula for adding two fractions a/b and c/d is (a*d + b*c) / (b*d).

Front

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

Back

A fraction is in simplest form if the numerator and denominator have no common factors other than 1.