102/201 added to 9/2 in Fraction Form

The result of 102/201 added to 9/2 is: 5 1/134

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 102201 and 92.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 201 and 2 is 402.

Step 3: Convert Fractions to Equivalent Fractions

Convert 102201 to 204402
Convert 92 to 1809402

Step 4: Add the Numerators

Add the numerators: 204 + 1809 = 2013

Step 5: Simplify the Fraction

We can simplify 2013402 to its lowest form.
The greatest common divisor (GCD) of 2013 and 402 is 3.
Dividing both numerator and denominator by the GCD, we get 671134.

Step 6: Convert to Mixed Number

The fraction 671134 can be written as the mixed number 51134.

Final Answer

The result of 102/201 added to 9/2 is:

102201+92=51134

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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