11/202 added to 22/4 in Fraction Form

The result of 11/202 added to 22/4 is: 5 56/101

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 11202 and 224.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 202 and 4 is 404.

Step 3: Convert Fractions to Equivalent Fractions

Convert 11202 to 22404
Convert 224 to 2222404

Step 4: Add the Numerators

Add the numerators: 22 + 2222 = 2244

Step 5: Simplify the Fraction

We can simplify 2244404 to its lowest form.
The greatest common divisor (GCD) of 2244 and 404 is 4.
Dividing both numerator and denominator by the GCD, we get 561101.

Step 6: Convert to Mixed Number

The fraction 561101 can be written as the mixed number 556101.

Final Answer

The result of 11/202 added to 22/4 is:

11202+224=556101

Understanding Fraction Addition

How to Add Fractions

To add fractions, you need to ensure they have a common denominator. Then add the numerators:

ab+cd=ad+bcbd (when denominators are different)

Or simply ab+cb=a+cb (when denominators are the same)

Why Simplify Fractions?

Simplifying fractions makes them easier to work with and understand. A fraction is in its simplest form when the numerator and denominator have no common factors other than 1.

To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD).

Fraction Calculator

Calculate operations between any two fractions: