13/209 added to 9/3 in Fraction Form

The result of 13/209 added to 9/3 is: 3 13/209

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 13209 and 93.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 209 and 3 is 627.

Step 3: Convert Fractions to Equivalent Fractions

Convert 13209 to 39627
Convert 93 to 1881627

Step 4: Add the Numerators

Add the numerators: 39 + 1881 = 1920

Step 5: Simplify the Fraction

We can simplify 1920627 to its lowest form.
The greatest common divisor (GCD) of 1920 and 627 is 3.
Dividing both numerator and denominator by the GCD, we get 640209.

Step 6: Convert to Mixed Number

The fraction 640209 can be written as the mixed number 313209.

Final Answer

The result of 13/209 added to 9/3 is:

13209+93=313209

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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