12/218 added to 4/4 in Fraction Form

The result of 12/218 added to 4/4 is: 1 6/109

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12218 and 44.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 218 and 4 is 436.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12218 to 24436
Convert 44 to 436436

Step 4: Add the Numerators

Add the numerators: 24 + 436 = 460

Step 5: Simplify the Fraction

We can simplify 460436 to its lowest form.
The greatest common divisor (GCD) of 460 and 436 is 4.
Dividing both numerator and denominator by the GCD, we get 115109.

Step 6: Convert to Mixed Number

The fraction 115109 can be written as the mixed number 16109.

Final Answer

The result of 12/218 added to 4/4 is:

12218+44=16109

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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