20/209 added to 8/2 in Fraction Form

The result of 20/209 added to 8/2 is: 4 20/209

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20209 and 82.

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 20209 to 40418
Convert 82 to 1672418

Step 4: Add the Numerators

Add the numerators: 40 + 1672 = 1712

Step 5: Simplify the Fraction

We can simplify 1712418 to its lowest form.
The greatest common divisor (GCD) of 1712 and 418 is 2.
Dividing both numerator and denominator by the GCD, we get 856209.

Step 6: Convert to Mixed Number

The fraction 856209 can be written as the mixed number 420209.

Final Answer

The result of 20/209 added to 8/2 is:

20209+82=420209

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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