12/194 added to 34/4 in Fraction Form

The result of 12/194 added to 34/4 is: 8 109/194

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12194 and 344.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 194 and 4 is 388.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12194 to 24388
Convert 344 to 3298388

Step 4: Add the Numerators

Add the numerators: 24 + 3298 = 3322

Step 5: Simplify the Fraction

We can simplify 3322388 to its lowest form.
The greatest common divisor (GCD) of 3322 and 388 is 2.
Dividing both numerator and denominator by the GCD, we get 1661194.

Step 6: Convert to Mixed Number

The fraction 1661194 can be written as the mixed number 8109194.

Final Answer

The result of 12/194 added to 34/4 is:

12194+344=8109194

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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