20/204 added to 10/6 in Fraction Form

The result of 20/204 added to 10/6 is: 1 13/17

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20204 and 106.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 204 and 6 is 204.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20204 to 20204
Convert 106 to 340204

Step 4: Add the Numerators

Add the numerators: 20 + 340 = 360

Step 5: Simplify the Fraction

We can simplify 360204 to its lowest form.
The greatest common divisor (GCD) of 360 and 204 is 12.
Dividing both numerator and denominator by the GCD, we get 3017.

Step 6: Convert to Mixed Number

The fraction 3017 can be written as the mixed number 11317.

Final Answer

The result of 20/204 added to 10/6 is:

20204+106=11317

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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