Mixed Number to Improper Fraction

What is a Mixed Number?

A mixed number is a combination of a whole number and a fraction.

Mixed Number to Improper Fraction Formula?

Steps to Convert Mixed Numbers to Improper Fractions

1. Multiply the whole number by the denominator of the fraction.

2. Add the result to the numerator of the fraction.

3. Write the sum as the numerator of the improper fraction, and keep the denominator the same.

4. Simplify the fraction, if possible.

Worked Example of Mixed Numbers

Example 1: Convert 2 3/4 to an improper fraction.

Step 1: 2 x 4 = 8
Step 2: 8 + 3 = 11
Step 3: The improper fraction is 11/4.

Example 2: Convert 5 2/5 to an improper fraction.

Step 1: 5 x 5 = 25
Step 2: 25 + 2 = 27
Step 3: The improper fraction is 27/5.

Example 3: Convert 3 1/2 to an improper fraction.

Step 1: 3 x 2 = 6
Step 2: 6 + 1 = 7
Step 3: The improper fraction is 7/2.