11/207 added to 20/4 in Fraction Form

The result of 11/207 added to 20/4 is: 5 11/207

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 11207 and 204.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 207 and 4 is 828.

Step 3: Convert Fractions to Equivalent Fractions

Convert 11207 to 44828
Convert 204 to 4140828

Step 4: Add the Numerators

Add the numerators: 44 + 4140 = 4184

Step 5: Simplify the Fraction

We can simplify 4184828 to its lowest form.
The greatest common divisor (GCD) of 4184 and 828 is 4.
Dividing both numerator and denominator by the GCD, we get 1046207.

Step 6: Convert to Mixed Number

The fraction 1046207 can be written as the mixed number 511207.

Final Answer

The result of 11/207 added to 20/4 is:

11207+204=511207

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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