11/82 added to 109/6 in Fraction Form

The result of 11/82 added to 109/6 is: 18 37/123

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1182 and 1096.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 82 and 6 is 246.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1182 to 33246
Convert 1096 to 4469246

Step 4: Add the Numerators

Add the numerators: 33 + 4469 = 4502

Step 5: Simplify the Fraction

We can simplify 4502246 to its lowest form.
The greatest common divisor (GCD) of 4502 and 246 is 2.
Dividing both numerator and denominator by the GCD, we get 2251123.

Step 6: Convert to Mixed Number

The fraction 2251123 can be written as the mixed number 1837123.

Final Answer

The result of 11/82 added to 109/6 is:

1182+1096=1837123

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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