8/256 added to 20/4 in Fraction Form

The result of 8/256 added to 20/4 is: 5 1/32

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 8256 and 204.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 256 and 4 is 256.

Step 3: Convert Fractions to Equivalent Fractions

Convert 8256 to 8256
Convert 204 to 1280256

Step 4: Add the Numerators

Add the numerators: 8 + 1280 = 1288

Step 5: Simplify the Fraction

We can simplify 1288256 to its lowest form.
The greatest common divisor (GCD) of 1288 and 256 is 8.
Dividing both numerator and denominator by the GCD, we get 16132.

Step 6: Convert to Mixed Number

The fraction 16132 can be written as the mixed number 5132.

Final Answer

The result of 8/256 added to 20/4 is:

8256+204=5132

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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