201/11 added to 12/2 in Fraction Form

The result of 201/11 added to 12/2 is: 24 3/11

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20111 and 122.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 11 and 2 is 22.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20111 to 40222
Convert 122 to 13222

Step 4: Add the Numerators

Add the numerators: 402 + 132 = 534

Step 5: Simplify the Fraction

We can simplify 53422 to its lowest form.
The greatest common divisor (GCD) of 534 and 22 is 2.
Dividing both numerator and denominator by the GCD, we get 26711.

Step 6: Convert to Mixed Number

The fraction 26711 can be written as the mixed number 24311.

Final Answer

The result of 201/11 added to 12/2 is:

20111+122=24311

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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