201/97 added to 22/2 in Fraction Form

The result of 201/97 added to 22/2 is: 13 7/97

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20197 and 222.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 97 and 2 is 194.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20197 to 402194
Convert 222 to 2134194

Step 4: Add the Numerators

Add the numerators: 402 + 2134 = 2536

Step 5: Simplify the Fraction

We can simplify 2536194 to its lowest form.
The greatest common divisor (GCD) of 2536 and 194 is 2.
Dividing both numerator and denominator by the GCD, we get 126897.

Step 6: Convert to Mixed Number

The fraction 126897 can be written as the mixed number 13797.

Final Answer

The result of 201/97 added to 22/2 is:

20197+222=13797

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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