69/194 added to 50/4 in Fraction Form

The result of 69/194 added to 50/4 is: 12 83/97

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 69194 and 504.

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 69194 to 138388
Convert 504 to 4850388

Step 4: Add the Numerators

Add the numerators: 138 + 4850 = 4988

Step 5: Simplify the Fraction

We can simplify 4988388 to its lowest form.
The greatest common divisor (GCD) of 4988 and 388 is 4.
Dividing both numerator and denominator by the GCD, we get 124797.

Step 6: Convert to Mixed Number

The fraction 124797 can be written as the mixed number 128397.

Final Answer

The result of 69/194 added to 50/4 is:

69194+504=128397

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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