19/189 added to 82/2 in Fraction Form

The result of 19/189 added to 82/2 is: 41 19/189

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 19189 and 822.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 189 and 2 is 378.

Step 3: Convert Fractions to Equivalent Fractions

Convert 19189 to 38378
Convert 822 to 15498378

Step 4: Add the Numerators

Add the numerators: 38 + 15498 = 15536

Step 5: Simplify the Fraction

We can simplify 15536378 to its lowest form.
The greatest common divisor (GCD) of 15536 and 378 is 2.
Dividing both numerator and denominator by the GCD, we get 7768189.

Step 6: Convert to Mixed Number

The fraction 7768189 can be written as the mixed number 4119189.

Final Answer

The result of 19/189 added to 82/2 is:

19189+822=4119189

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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