20/197 added to 100/2 in Fraction Form

The result of 20/197 added to 100/2 is: 50 20/197

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20197 and 1002.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 197 and 2 is 394.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20197 to 40394
Convert 1002 to 19700394

Step 4: Add the Numerators

Add the numerators: 40 + 19700 = 19740

Step 5: Simplify the Fraction

We can simplify 19740394 to its lowest form.
The greatest common divisor (GCD) of 19740 and 394 is 2.
Dividing both numerator and denominator by the GCD, we get 9870197.

Step 6: Convert to Mixed Number

The fraction 9870197 can be written as the mixed number 5020197.

Final Answer

The result of 20/197 added to 100/2 is:

20197+1002=5020197

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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