200/83 added to 2/6 in Fraction Form

The result of 200/83 added to 2/6 is: 2 185/249

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20083 and 26.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 83 and 6 is 498.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20083 to 1200498
Convert 26 to 166498

Step 4: Add the Numerators

Add the numerators: 1200 + 166 = 1366

Step 5: Simplify the Fraction

We can simplify 1366498 to its lowest form.
The greatest common divisor (GCD) of 1366 and 498 is 2.
Dividing both numerator and denominator by the GCD, we get 683249.

Step 6: Convert to Mixed Number

The fraction 683249 can be written as the mixed number 2185249.

Final Answer

The result of 200/83 added to 2/6 is:

20083+26=2185249

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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