26/109 added to 10/6 in Fraction Form

The result of 26/109 added to 10/6 is: 1 296/327

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 26109 and 106.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 109 and 6 is 654.

Step 3: Convert Fractions to Equivalent Fractions

Convert 26109 to 156654
Convert 106 to 1090654

Step 4: Add the Numerators

Add the numerators: 156 + 1090 = 1246

Step 5: Simplify the Fraction

We can simplify 1246654 to its lowest form.
The greatest common divisor (GCD) of 1246 and 654 is 2.
Dividing both numerator and denominator by the GCD, we get 623327.

Step 6: Convert to Mixed Number

The fraction 623327 can be written as the mixed number 1296327.

Final Answer

The result of 26/109 added to 10/6 is:

26109+106=1296327

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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