81/103 added to 118/2 in Fraction Form

The result of 81/103 added to 118/2 is: 59 81/103

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 81103 and 1182.

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 81103 to 162206
Convert 1182 to 12154206

Step 4: Add the Numerators

Add the numerators: 162 + 12154 = 12316

Step 5: Simplify the Fraction

We can simplify 12316206 to its lowest form.
The greatest common divisor (GCD) of 12316 and 206 is 2.
Dividing both numerator and denominator by the GCD, we get 6158103.

Step 6: Convert to Mixed Number

The fraction 6158103 can be written as the mixed number 5981103.

Final Answer

The result of 81/103 added to 118/2 is:

81103+1182=5981103

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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