11/103 added to 212/2 in Fraction Form

The result of 11/103 added to 212/2 is: 106 11/103

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 11103 and 2122.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 103 and 2 is 206.

Step 3: Convert Fractions to Equivalent Fractions

Convert 11103 to 22206
Convert 2122 to 21836206

Step 4: Add the Numerators

Add the numerators: 22 + 21836 = 21858

Step 5: Simplify the Fraction

We can simplify 21858206 to its lowest form.
The greatest common divisor (GCD) of 21858 and 206 is 2.
Dividing both numerator and denominator by the GCD, we get 10929103.

Step 6: Convert to Mixed Number

The fraction 10929103 can be written as the mixed number 10611103.

Final Answer

The result of 11/103 added to 212/2 is:

11103+2122=10611103

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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