135/103 added to 12/2 in Fraction Form

The result of 135/103 added to 12/2 is: 7 32/103

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 135103 and 122.

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 135103 to 270206
Convert 122 to 1236206

Step 4: Add the Numerators

Add the numerators: 270 + 1236 = 1506

Step 5: Simplify the Fraction

We can simplify 1506206 to its lowest form.
The greatest common divisor (GCD) of 1506 and 206 is 2.
Dividing both numerator and denominator by the GCD, we get 753103.

Step 6: Convert to Mixed Number

The fraction 753103 can be written as the mixed number 732103.

Final Answer

The result of 135/103 added to 12/2 is:

135103+122=732103

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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