How to Change Mixed Numbers to Improper Fractions

Stuck on a math problem?

In order to solve a math problem with fractions, you need to change a mixed number to an improper fraction. You can do this either with pictures or by multiplication.

Things You'll Need

• paper
• pencil

Instructions

1. First, you need to understand what a mixed number and fraction are. A mixed number is a number that has both a whole number and fraction, such as 1 3/4.

2. An improper fraction is a fraction where the numerator (the number on top) is equal to or bigger than the denominator (the number on the bottom.) 3/3 is an improper fraction, as well as 4/3.

3. 

   To convert a smaller fraction, you can try drawing a picture. In this picture, you can see 1 3/4.

4. 

   Now divide the second circle into fourths, and count the total number filled in. You get 7. Now, since each of these 7 is a fourth of the whole, our improper fraction is 7/4.

5. Once you understand the concept, you're ready to try the math. So let's try a harder one. Let's convert 3 4/5 to an improper fraction.

6. You'll start by multiplying your whole number, 3, by the denominator, 5. 3 X 5 = 15

7. Now add the number you got (15) to the numerator of the fraction (4). 15+4=19

8. Now you'll take your answer (19) and place it over the denominator (5). So our final answer is 3 4/5 = 19/5.

9. Congratulations! Now try this one: 2 3/4 = ?

Tips & Warnings

• Did you solve the problem? The answer is 11/4.