26/209 added to 82/2 in Fraction Form

The result of 26/209 added to 82/2 is: 41 26/209

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 26209 and 822.

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 26209 to 52418
Convert 822 to 17138418

Step 4: Add the Numerators

Add the numerators: 52 + 17138 = 17190

Step 5: Simplify the Fraction

We can simplify 17190418 to its lowest form.
The greatest common divisor (GCD) of 17190 and 418 is 2.
Dividing both numerator and denominator by the GCD, we get 8595209.

Step 6: Convert to Mixed Number

The fraction 8595209 can be written as the mixed number 4126209.

Final Answer

The result of 26/209 added to 82/2 is:

26209+822=4126209

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

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