13/26 added to 256/2 in Fraction Form

The result of 13/26 added to 256/2 is: 128 1/2

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1326 and 2562.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 26 and 2 is 26.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1326 to 1326
Convert 2562 to 332826

Step 4: Add the Numerators

Add the numerators: 13 + 3328 = 3341

Step 5: Simplify the Fraction

We can simplify 334126 to its lowest form.
The greatest common divisor (GCD) of 3341 and 26 is 13.
Dividing both numerator and denominator by the GCD, we get 2572.

Step 6: Convert to Mixed Number

The fraction 2572 can be written as the mixed number 12812.

Final Answer

The result of 13/26 added to 256/2 is:

1326+2562=12812

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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