The Simplifying Fractions Calculator

How to use a The Simplifying Fractions Calculator in

his online fraction simplifier calculator by MathMaster converts improper fractions to mixed numbers, making mathematical expressions more manageable and comprehensible. It is the simplest form calculator that reduces proper fractions to their lowest terms before converting them to mixed numbers. 

How to Convert an Improper Fraction to a Mixed Number

An improper fraction is any fraction in which the numerator is greater than the denominator. 

Examples of improper fractions  

5/3, 65/9, and 525/71


Here are the key steps to convert an improper fraction to a mixed number using the calculator:

Step 1: Divide the Numerator by the Denominator

For instance, if you have the improper fraction 16/3, divide 16 by 3, as shown below. 16 ÷ 3 = 5 with a remainder of 1.

Step 2: Write Down the Whole Number Result

The whole-number part of the mixed number is the result of the division. In this case, it's 5.

Step 3: Use the Remainder as the New Numerator

The remainder of the division becomes the new numerator, and the original denominator becomes the new denominator. In our example, the fraction part of the mixed number is 1/3.

Step 4: Combine the Whole Number and the Fraction

Now, you have both the whole number and the fractional part. Put them together to form a mixed number. For our example, it's 5 1/3.

Example 1:

Convert the improper fraction 22/5 to a mixed number:

22 ÷ 5 =  4 with a remainder of 2.

The whole number result is 4.

The remainder is 2. So, the fraction part is 2/5.

The mixed number is 4 2/5. Therefore, 22/5 equals 4 2/5.

Example 2: 

Convert 48/9 to a Mixed Number.

Step 1: First, 48/9 is not in its simplest form. Start by simplifying it by dividing the numerator and denominator by their greatest common factor (GCF). In this case, the GCF of 45 and 9 is 3.

(48 ÷ 3) / (9 ÷ 3) = 16/3.

Step 2: Now, we have the simplified fraction: 16/3. Divide the numerator (16) by the denominator (3).

16 ÷ 3 = 5 with a remainder of 1.

Step 3: The whole number result is 5. Use the remainder (1) as the new numerator over the original denominator (5). Combine the whole number (5) and the fractional part (1/3) to form the mixed number.

The result is 5 1/3.

MathMaster online Simplifying Fractions Calculator is a simple yet sophisticated fraction simplifier. It makes converting improper fractions to mixed numbers easy. You can use this simplest form calculator instead of going through the hassle yourself.


  1. What is the simplest form of a fraction?

The simplest form of a fraction is when the numerator and denominator share no common divisors other than 1. If you are not sure if a fraction is in its simplest form, you can use MathMaster’s simplest form calculator to confirm this.

  1. How can I simplify fractions manually?

You can simplify a fraction manually by finding the greatest common divisor (GCD) of the numerator and denominator and then dividing both by that GCD.

  1. When should I use a fraction simplifier to convert improper fractions to mixed numbers?

You can use a fraction simplifier to convert improper fractions to mixed numbers when you want to represent a fraction as a whole number and a proper fraction. It's more readable and practical for real-world applications.