18/209 added to 2/6 in Fraction Form

The result of 18/209 added to 2/6 is: 263/627

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 18209 and 26.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 209 and 6 is 1254.

Step 3: Convert Fractions to Equivalent Fractions

Convert 18209 to 1081254
Convert 26 to 4181254

Step 4: Add the Numerators

Add the numerators: 108 + 418 = 526

Step 5: Simplify the Fraction

We can simplify 5261254 to its lowest form.
The greatest common divisor (GCD) of 526 and 1254 is 2.
Dividing both numerator and denominator by the GCD, we get 263627.

Final Answer

The result of 18/209 added to 2/6 is:

18209+26=263627

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).

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