81/127 added to 126/2 in Fraction Form

The result of 81/127 added to 126/2 is: 63 81/127

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 81127 and 1262.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 127 and 2 is 254.

Step 3: Convert Fractions to Equivalent Fractions

Convert 81127 to 162254
Convert 1262 to 16002254

Step 4: Add the Numerators

Add the numerators: 162 + 16002 = 16164

Step 5: Simplify the Fraction

We can simplify 16164254 to its lowest form.
The greatest common divisor (GCD) of 16164 and 254 is 2.
Dividing both numerator and denominator by the GCD, we get 8082127.

Step 6: Convert to Mixed Number

The fraction 8082127 can be written as the mixed number 6381127.

Final Answer

The result of 81/127 added to 126/2 is:

81127+1262=6381127

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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