26/103 added to 164/2 in Fraction Form

The result of 26/103 added to 164/2 is: 82 26/103

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 26103 and 1642.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 103 and 2 is 206.

Step 3: Convert Fractions to Equivalent Fractions

Convert 26103 to 52206
Convert 1642 to 16892206

Step 4: Add the Numerators

Add the numerators: 52 + 16892 = 16944

Step 5: Simplify the Fraction

We can simplify 16944206 to its lowest form.
The greatest common divisor (GCD) of 16944 and 206 is 2.
Dividing both numerator and denominator by the GCD, we get 8472103.

Step 6: Convert to Mixed Number

The fraction 8472103 can be written as the mixed number 8226103.

Final Answer

The result of 26/103 added to 164/2 is:

26103+1642=8226103

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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