13/261 added to 26/2 in Fraction Form

The result of 13/261 added to 26/2 is: 13 13/261

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 13261 and 262.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 261 and 2 is 522.

Step 3: Convert Fractions to Equivalent Fractions

Convert 13261 to 26522
Convert 262 to 6786522

Step 4: Add the Numerators

Add the numerators: 26 + 6786 = 6812

Step 5: Simplify the Fraction

We can simplify 6812522 to its lowest form.
The greatest common divisor (GCD) of 6812 and 522 is 2.
Dividing both numerator and denominator by the GCD, we get 3406261.

Step 6: Convert to Mixed Number

The fraction 3406261 can be written as the mixed number 1313261.

Final Answer

The result of 13/261 added to 26/2 is:

13261+262=1313261

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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