# How To Change Mixed Numbers Into Improper Fractions

A mixed number is written in the form of a whole number plus a fraction: 7 3/4. 7 is the whole number. 3 is the numerator. 4 is the denominator. It is pronounced as: seven and three fourths.

### Step 1

Multiply the whole number (7) by the denominator (4). In this case, 7 3/4 is our mixed number, so we will multiply 7x4. The product of 7x4 is 28.

### Step 2

Add the numerator (3) to the product (28) of the whole number and the denominator: 3+28. The sum of 3+28 is 31.

### Step 3

Make the sum (31), the new numerator in your improper fraction.

### Step 4

Keep the denominator the same as in the original mixed number: (4).

### Step 5

Your new improper fraction is the sum/denominator: 31/4. Thus. 7 ¾=31/4.

### Cite This Article

#### MLA

Sanders, Brenda. "How To Change Mixed Numbers Into Improper Fractions" *sciencing.com*, https://www.sciencing.com/change-mixed-numbers-improper-fractions-2305564/. 24 April 2017.

#### APA

Sanders, Brenda. (2017, April 24). How To Change Mixed Numbers Into Improper Fractions. *sciencing.com*. Retrieved from https://www.sciencing.com/change-mixed-numbers-improper-fractions-2305564/

#### Chicago

Sanders, Brenda. How To Change Mixed Numbers Into Improper Fractions last modified March 24, 2022. https://www.sciencing.com/change-mixed-numbers-improper-fractions-2305564/