9/4 as a Mixed Number: How-to & Steps

Lesson Transcript
Instructor: Allison Petrovic

Allison has experience teaching high school and college mathematics and has a master's degree in mathematics education.

Discover the steps to converting the improper fraction 9/4 to a mixed number. Learn about the properties of improper fractions and mixed numbers to understand their relationship. Finally, follow three easy steps to change 9/4 into a mixed number. Updated: 12/22/2021

Fractions in Real Life

Imagine that your parents are ordering 3 pizzas for dinner from your favorite pizza place. Each pizza has 4 slices. Your mother says that your family can only eat 9/4 of the pizzas, as she wants to save the rest of the pies for lunch the next day. So how many pies and slices can your family eat for dinner?

An error occurred trying to load this video.

Try refreshing the page, or contact customer support.

Coming up next: Place Value and Patterns with Rounding

You're on a roll. Keep up the good work!

Take Quiz Watch Next Lesson
Your next lesson will play in 10 seconds
  • 0:04 Fractions in Real Life
  • 0:23 Fraction Action
  • 1:09 Step 1
  • 1:33 Step 2
  • 1:42 Step 3
  • 2:07 Lesson Summary
Save Save Save

Want to watch this again later?

Log in or sign up to add this lesson to a Custom Course.

Log in or Sign up

Speed Speed

Fraction Action

Before we learn exactly how much pizza your family can eat for dinner, let's go over a few definitions. The number 9/4 is what we call an improper fraction, or one where the numerator is bigger than the denominator. Since 9 is bigger than 4, the number 9/4 is an improper fraction.

In order to learn how much pizza your family can eat for dinner, we must change 9/4 to a mixed number. A mixed number has two parts: a whole number and a fraction. An example of a mixed number is 1 ½. In this example, the number 1 is the whole number and ½ is the fraction. Now, let's learn how to change the improper fraction 9/4 to a mixed number. Remember that we're looking for both parts: a whole number and a fraction.

Step 1

First, let's calculate how many times 4, or the denominator, goes into 9, the numerator. The best way to do this is to use long division: 4 goes into 9 twice, with a remainder of 1. Remember, in this step, we're only looking for how many times 4 goes into 9. So, we can ignore the remainder for now. Since 4 goes into 9 two times, we can say that 2 is the whole number in our mixed number.

To unlock this lesson you must be a Study.com Member.
Create your account

Register to view this lesson

Are you a student or a teacher?

Unlock Your Education

See for yourself why 30 million people use Study.com

Become a Study.com member and start learning now.
Become a Member  Back
What teachers are saying about Study.com
Try it now
Create an account to start this course today
Used by over 30 million students worldwide
Create an account