Mixed numbers and improper fractions  Fractions  PreAlgebra  Khan Academy  Summary and Q&A
TL;DR
Learn how to convert between mixed numbers and improper fractions using a systematic approach.
Questions & Answers
Q: What is a mixed number?
A mixed number consists of a whole number and a fraction. It is written in the form of "whole number and fraction," such as 2 and 1/2.
Q: How can you identify an improper fraction?
An improper fraction has a numerator that is greater than the denominator. For example, 23/5 is an improper fraction because 23 is larger than 5.
Q: How do you convert a mixed number to an improper fraction?
To convert a mixed number to an improper fraction, multiply the whole number by the denominator, and add the numerator. The result becomes the new numerator, while the denominator stays the same.
Q: How do you convert an improper fraction to a mixed number?
To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient becomes the whole number, and the remainder becomes the numerator of the fraction part. The denominator remains unchanged.
Summary & Key Takeaways

A mixed number is a combination of a whole number and a fraction, such as 2 and 1/2.

An improper fraction has a numerator that is larger than the denominator, such as 23/5.

To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator. The result becomes the new numerator and the denominator remains the same.

To convert an improper fraction to a mixed number, divide the numerator by the denominator and express the quotient as the whole number. The remainder becomes the numerator of the fraction part, with the denominator staying the same.