12/13 added to 200/4 in Fraction Form

The result of 12/13 added to 200/4 is: 50 12/13

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1213 and 2004.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 13 and 4 is 52.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1213 to 4852
Convert 2004 to 260052

Step 4: Add the Numerators

Add the numerators: 48 + 2600 = 2648

Step 5: Simplify the Fraction

We can simplify 264852 to its lowest form.
The greatest common divisor (GCD) of 2648 and 52 is 4.
Dividing both numerator and denominator by the GCD, we get 66213.

Step 6: Convert to Mixed Number

The fraction 66213 can be written as the mixed number 501213.

Final Answer

The result of 12/13 added to 200/4 is:

1213+2004=501213

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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