107/99 added to 26/2 in Fraction Form

The result of 107/99 added to 26/2 is: 14 8/99

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 10799 and 262.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 99 and 2 is 198.

Step 3: Convert Fractions to Equivalent Fractions

Convert 10799 to 214198
Convert 262 to 2574198

Step 4: Add the Numerators

Add the numerators: 214 + 2574 = 2788

Step 5: Simplify the Fraction

We can simplify 2788198 to its lowest form.
The greatest common divisor (GCD) of 2788 and 198 is 2.
Dividing both numerator and denominator by the GCD, we get 139499.

Step 6: Convert to Mixed Number

The fraction 139499 can be written as the mixed number 14899.

Final Answer

The result of 107/99 added to 26/2 is:

10799+262=14899

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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