20/255 added to 1/2 in Fraction Form

The result of 20/255 added to 1/2 is: 59/102

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20255 and 12.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 255 and 2 is 510.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20255 to 40510
Convert 12 to 255510

Step 4: Add the Numerators

Add the numerators: 40 + 255 = 295

Step 5: Simplify the Fraction

We can simplify 295510 to its lowest form.
The greatest common divisor (GCD) of 295 and 510 is 5.
Dividing both numerator and denominator by the GCD, we get 59102.

Final Answer

The result of 20/255 added to 1/2 is:

20255+12=59102

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).

Fraction Calculator

Calculate operations between any two fractions: