Add Fractions and Mixed Numbers

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 2 3/5.

Front

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

Back

Multiply the whole number by the denominator, add the numerator, and place the result over the original denominator. For example, 2 3/5 = (2*5 + 3)/5 = 13/5.

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator, such as 13/5.

Front

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

Back

Divide the numerator by the denominator. The quotient is the whole number, and the remainder is the new numerator over the original denominator. For example, 30/9 = 3 1/3.

Front

What is a common denominator?

Back

A common denominator is a shared multiple of the denominators of two or more fractions, allowing them to be added or compared.

Front

What is the least common multiple (LCM)?

Back

The least common multiple is the smallest multiple that two or more numbers share. It is often used to find a common denominator.

Front

How do you add fractions with different denominators?

Back

Find a common denominator, convert the fractions, and then add the numerators. For example, 1/5 + 5/6 = 2/12 + 5/12 = 7/12.

Front

What is the process for adding mixed numbers?

Back

Add the whole numbers together, then add the fractions. If the fraction sum is improper, convert it to a mixed number.

Front

What is the simplest form of a fraction?

Back

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

Front

How do you simplify a fraction?

Back

Divide the numerator and denominator by their greatest common factor (GCF). For example, 8/12 simplifies to 2/3.