203/102 added to 12/4 in Fraction Form

The result of 203/102 added to 12/4 is: 4 101/102

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 203102 and 124.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 102 and 4 is 204.

Step 3: Convert Fractions to Equivalent Fractions

Convert 203102 to 406204
Convert 124 to 612204

Step 4: Add the Numerators

Add the numerators: 406 + 612 = 1018

Step 5: Simplify the Fraction

We can simplify 1018204 to its lowest form.
The greatest common divisor (GCD) of 1018 and 204 is 2.
Dividing both numerator and denominator by the GCD, we get 509102.

Step 6: Convert to Mixed Number

The fraction 509102 can be written as the mixed number 4101102.

Final Answer

The result of 203/102 added to 12/4 is:

203102+124=4101102

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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