69/206 added to 48/4 in Fraction Form

The result of 69/206 added to 48/4 is: 12 69/206

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 69206 and 484.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 206 and 4 is 412.

Step 3: Convert Fractions to Equivalent Fractions

Convert 69206 to 138412
Convert 484 to 4944412

Step 4: Add the Numerators

Add the numerators: 138 + 4944 = 5082

Step 5: Simplify the Fraction

We can simplify 5082412 to its lowest form.
The greatest common divisor (GCD) of 5082 and 412 is 2.
Dividing both numerator and denominator by the GCD, we get 2541206.

Step 6: Convert to Mixed Number

The fraction 2541206 can be written as the mixed number 1269206.

Final Answer

The result of 69/206 added to 48/4 is:

69206+484=1269206

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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