22/182 added to 81/6 in Fraction Form

The result of 22/182 added to 81/6 is: 13 113/182

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 22182 and 816.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 182 and 6 is 546.

Step 3: Convert Fractions to Equivalent Fractions

Convert 22182 to 66546
Convert 816 to 7371546

Step 4: Add the Numerators

Add the numerators: 66 + 7371 = 7437

Step 5: Simplify the Fraction

We can simplify 7437546 to its lowest form.
The greatest common divisor (GCD) of 7437 and 546 is 3.
Dividing both numerator and denominator by the GCD, we get 2479182.

Step 6: Convert to Mixed Number

The fraction 2479182 can be written as the mixed number 13113182.

Final Answer

The result of 22/182 added to 81/6 is:

22182+816=13113182

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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