Adding, Subtracting, Multiplying and Dividing Fractions

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

How do you add fractions with different denominators?

Back

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

Front

What is the process for subtracting fractions?

Back

To subtract fractions, ensure they have a common denominator, convert them if necessary, and then subtract the numerators while keeping the common denominator.

Front

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. Simplify the resulting fraction if possible.

Front

What is the method for dividing fractions?

Back

To divide fractions, multiply by the reciprocal of the divisor. That is, flip the second fraction and then multiply.

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 a mixed number?

Back

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

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 is the whole number, and the remainder is the new numerator.

Front

What is the least common denominator (LCD)?

Back

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

Front

What is the first step in solving a fraction addition problem?

Back

The first step is to find a common denominator for the fractions involved.