4/204 added to 11/3 in Fraction Form

The result of 4/204 added to 11/3 is: 3 35/51

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 4204 and 113.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 204 and 3 is 204.

Step 3: Convert Fractions to Equivalent Fractions

Convert 4204 to 4204
Convert 113 to 748204

Step 4: Add the Numerators

Add the numerators: 4 + 748 = 752

Step 5: Simplify the Fraction

We can simplify 752204 to its lowest form.
The greatest common divisor (GCD) of 752 and 204 is 4.
Dividing both numerator and denominator by the GCD, we get 18851.

Step 6: Convert to Mixed Number

The fraction 18851 can be written as the mixed number 33551.

Final Answer

The result of 4/204 added to 11/3 is:

4204+113=33551

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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