200/26 added to 80/4 in Fraction Form

The result of 200/26 added to 80/4 is: 27 9/13

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20026 and 804.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 26 and 4 is 52.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20026 to 40052
Convert 804 to 104052

Step 4: Add the Numerators

Add the numerators: 400 + 1040 = 1440

Step 5: Simplify the Fraction

We can simplify 144052 to its lowest form.
The greatest common divisor (GCD) of 1440 and 52 is 4.
Dividing both numerator and denominator by the GCD, we get 36013.

Step 6: Convert to Mixed Number

The fraction 36013 can be written as the mixed number 27913.

Final Answer

The result of 200/26 added to 80/4 is:

20026+804=27913

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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