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

9/4 as a Mixed Number: How-to & Steps
Coming up next: Place Value and Patterns with Rounding

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

Take Quiz Watch Next Lesson
 Replay
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

Timeline
Autoplay
Autoplay
Speed

Recommended Lessons and Courses for You

Lesson Transcript
Instructor: Allison Petrovic

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

In this video, we'll learn how to change an improper fraction, such as 9/4, to a mixed number. By using three easy-to-follow steps, you'll be a mixed number expert in no time.

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?

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 risk-free for 30 days

Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Transferring credit to the school of your choice

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

Create an account to start this course today
Try it risk-free for 30 days!
Create an account
Support