12/207 added to 13/2 in Fraction Form

The result of 12/207 added to 13/2 is: 6 77/138

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12207 and 132.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 207 and 2 is 414.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12207 to 24414
Convert 132 to 2691414

Step 4: Add the Numerators

Add the numerators: 24 + 2691 = 2715

Step 5: Simplify the Fraction

We can simplify 2715414 to its lowest form.
The greatest common divisor (GCD) of 2715 and 414 is 3.
Dividing both numerator and denominator by the GCD, we get 905138.

Step 6: Convert to Mixed Number

The fraction 905138 can be written as the mixed number 677138.

Final Answer

The result of 12/207 added to 13/2 is:

12207+132=677138

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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