184/81 added to 12/2 in Fraction Form

The result of 184/81 added to 12/2 is: 8 22/81

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 18481 and 122.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 81 and 2 is 162.

Step 3: Convert Fractions to Equivalent Fractions

Convert 18481 to 368162
Convert 122 to 972162

Step 4: Add the Numerators

Add the numerators: 368 + 972 = 1340

Step 5: Simplify the Fraction

We can simplify 1340162 to its lowest form.
The greatest common divisor (GCD) of 1340 and 162 is 2.
Dividing both numerator and denominator by the GCD, we get 67081.

Step 6: Convert to Mixed Number

The fraction 67081 can be written as the mixed number 82281.

Final Answer

The result of 184/81 added to 12/2 is:

18481+122=82281

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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