39/108 added to 102/2 in Fraction Form

The result of 39/108 added to 102/2 is: 51 13/36

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 39108 and 1022.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 108 and 2 is 108.

Step 3: Convert Fractions to Equivalent Fractions

Convert 39108 to 39108
Convert 1022 to 5508108

Step 4: Add the Numerators

Add the numerators: 39 + 5508 = 5547

Step 5: Simplify the Fraction

We can simplify 5547108 to its lowest form.
The greatest common divisor (GCD) of 5547 and 108 is 3.
Dividing both numerator and denominator by the GCD, we get 184936.

Step 6: Convert to Mixed Number

The fraction 184936 can be written as the mixed number 511336.

Final Answer

The result of 39/108 added to 102/2 is:

39108+1022=511336

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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