Mixed numbers are a combination of a whole number and proper fractions. Here’s an example:
Mixed numbers show a value somewhere between two whole numbers. For example, the mixed number above is neither 1 nor 2. The one-half fraction shows it's perfectly in between.
Let's dive further into what mixed numbers are and how they can be converted into another type of fraction, improper fractions.
What Are Mixed Numbers?
Mixed numbers, which are also called mixed fractions, have a whole number part and a fraction part.
The fraction part must be a proper fraction, which means that the numerator (the top number) is smaller than the denominator (the bottom number).
Now that we've defined mixed numbers, let's learn how to convert them into improper fractions.
What Are Improper Fractions?
An improper fraction has a numerator with a larger value than the denominator:
Because the denominator is a larger value, the decimal quotient will always be greater than one:
Converting Mixed Numbers Into Improper Fractions
Let's learn how to go from the mixed number form to the improper fraction form following these steps:
1) Multiply the whole number by the denominator:
2) Add the resulting number to the numerator:
3) Place this number over the original denominator:
Understanding Mixed Numbers and Improper Fractions
Mixed numbers are a combination of whole numbers and proper fractions. Improper fractions have a larger numerator than denominator.
Learning how to convert a mixed number into an improper fraction prepares you for the next lesson you'll probably have to learn in math: converting improper fractions into mixed numbers.