11/183 added to 101/6 in Fraction Form

The result of 11/183 added to 101/6 is: 16 109/122

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 11183 and 1016.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 183 and 6 is 366.

Step 3: Convert Fractions to Equivalent Fractions

Convert 11183 to 22366
Convert 1016 to 6161366

Step 4: Add the Numerators

Add the numerators: 22 + 6161 = 6183

Step 5: Simplify the Fraction

We can simplify 6183366 to its lowest form.
The greatest common divisor (GCD) of 6183 and 366 is 3.
Dividing both numerator and denominator by the GCD, we get 2061122.

Step 6: Convert to Mixed Number

The fraction 2061122 can be written as the mixed number 16109122.

Final Answer

The result of 11/183 added to 101/6 is:

11183+1016=16109122

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).

Fraction Calculator

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