16/256 added to 37/2 in Fraction Form

The result of 16/256 added to 37/2 is: 18 9/16

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 16256 and 372.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 256 and 2 is 256.

Step 3: Convert Fractions to Equivalent Fractions

Convert 16256 to 16256
Convert 372 to 4736256

Step 4: Add the Numerators

Add the numerators: 16 + 4736 = 4752

Step 5: Simplify the Fraction

We can simplify 4752256 to its lowest form.
The greatest common divisor (GCD) of 4752 and 256 is 16.
Dividing both numerator and denominator by the GCD, we get 29716.

Step 6: Convert to Mixed Number

The fraction 29716 can be written as the mixed number 18916.

Final Answer

The result of 16/256 added to 37/2 is:

16256+372=18916

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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