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

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

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