82/122 added to 81/6 in Fraction Form

The result of 82/122 added to 81/6 is: 14 21/122

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 82122 and 816.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 122 and 6 is 366.

Step 3: Convert Fractions to Equivalent Fractions

Convert 82122 to 246366
Convert 816 to 4941366

Step 4: Add the Numerators

Add the numerators: 246 + 4941 = 5187

Step 5: Simplify the Fraction

We can simplify 5187366 to its lowest form.
The greatest common divisor (GCD) of 5187 and 366 is 3.
Dividing both numerator and denominator by the GCD, we get 1729122.

Step 6: Convert to Mixed Number

The fraction 1729122 can be written as the mixed number 1421122.

Final Answer

The result of 82/122 added to 81/6 is:

82122+816=1421122

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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