22/259 added to 20/4 in Fraction Form

The result of 22/259 added to 20/4 is: 5 22/259

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 22259 and 204.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 259 and 4 is 1036.

Step 3: Convert Fractions to Equivalent Fractions

Convert 22259 to 881036
Convert 204 to 51801036

Step 4: Add the Numerators

Add the numerators: 88 + 5180 = 5268

Step 5: Simplify the Fraction

We can simplify 52681036 to its lowest form.
The greatest common divisor (GCD) of 5268 and 1036 is 4.
Dividing both numerator and denominator by the GCD, we get 1317259.

Step 6: Convert to Mixed Number

The fraction 1317259 can be written as the mixed number 522259.

Final Answer

The result of 22/259 added to 20/4 is:

22259+204=522259

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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