12/256 added to 10/4 in Fraction Form

The result of 12/256 added to 10/4 is: 2 35/64

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12256 and 104.

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 12256 to 12256
Convert 104 to 640256

Step 4: Add the Numerators

Add the numerators: 12 + 640 = 652

Step 5: Simplify the Fraction

We can simplify 652256 to its lowest form.
The greatest common divisor (GCD) of 652 and 256 is 4.
Dividing both numerator and denominator by the GCD, we get 16364.

Step 6: Convert to Mixed Number

The fraction 16364 can be written as the mixed number 23564.

Final Answer

The result of 12/256 added to 10/4 is:

12256+104=23564

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

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