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?

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  • 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
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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.

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