11/209 added to 80/2 in Fraction Form

The result of 11/209 added to 80/2 is: 40 1/19

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 11209 and 802.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 209 and 2 is 418.

Step 3: Convert Fractions to Equivalent Fractions

Convert 11209 to 22418
Convert 802 to 16720418

Step 4: Add the Numerators

Add the numerators: 22 + 16720 = 16742

Step 5: Simplify the Fraction

We can simplify 16742418 to its lowest form.
The greatest common divisor (GCD) of 16742 and 418 is 22.
Dividing both numerator and denominator by the GCD, we get 76119.

Step 6: Convert to Mixed Number

The fraction 76119 can be written as the mixed number 40119.

Final Answer

The result of 11/209 added to 80/2 is:

11209+802=40119

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: