Multiply & Divide Fractions & Mixed Numbers

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 is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 2 3/4.

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 the result over the original denominator.

Front

What is the process for multiplying fractions?

Back

To multiply fractions, multiply the numerators together and multiply the denominators together.

Front

What is the process for dividing fractions?

Back

To divide fractions, multiply by the reciprocal of the divisor (the second fraction).

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction is obtained by flipping the numerator and denominator.

Front

How do you simplify a fraction?

Back

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

Front

What is the least common denominator (LCD)?

Back

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

Front

How do you add fractions with different denominators?

Back

To add fractions with different denominators, first find the least common denominator, convert each fraction, and then add the numerators.

Front

What is a proper fraction?

Back

A proper fraction is a fraction where the numerator is less than the denominator.