# Mixed Numbers and Improper Fractions

These lessons, with videos, examples, and solutions, explain how to convert mixed numbers to fractions and vice versa.

The following diagrams show how to convert a mixed number to an improper fraction. Scroll down the page for more examples and solutions.

The following diagrams show how to convert an improper fraction to a mixed number. Scroll down the page for more examples and solutions.

Converting a Mixed Number to an Improper Fraction

Examples:
Write the mixed number as an improper fraction
a) 1 5/7
b) 3 1/8

Convert an Improper Fraction to a Mixed Number

Examples:
a) 8/5
b) 31/9

Mixed numbers and improper fractions
Converting mixed numbers to improper fractions and improper fractions to mixed numbers.

Examples:
a) Convert to improper fraction.
2 1/2
b) Convert to mixed number.
23/5

Changing improper fractions into mixed numbers

Examples:
10/7
23/10

Change mixed numbers into improper fractions

Examples:
1 3/4
3 3/5

Converting an Improper Fraction into a Mixed Number

Example:
Change to Mixed Number
9/4

Converting a Mixed Number into an Improper Fraction

Example:
2 3/4

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.