81/209 added to 12/2 in Fraction Form

The result of 81/209 added to 12/2 is: 6 81/209

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 81209 and 122.

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 81209 to 162418
Convert 122 to 2508418

Step 4: Add the Numerators

Add the numerators: 162 + 2508 = 2670

Step 5: Simplify the Fraction

We can simplify 2670418 to its lowest form.
The greatest common divisor (GCD) of 2670 and 418 is 2.
Dividing both numerator and denominator by the GCD, we get 1335209.

Step 6: Convert to Mixed Number

The fraction 1335209 can be written as the mixed number 681209.

Final Answer

The result of 81/209 added to 12/2 is:

81209+122=681209

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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