12/119 added to 8/2 in Fraction Form

The result of 12/119 added to 8/2 is: 4 12/119

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12119 and 82.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 119 and 2 is 238.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12119 to 24238
Convert 82 to 952238

Step 4: Add the Numerators

Add the numerators: 24 + 952 = 976

Step 5: Simplify the Fraction

We can simplify 976238 to its lowest form.
The greatest common divisor (GCD) of 976 and 238 is 2.
Dividing both numerator and denominator by the GCD, we get 488119.

Step 6: Convert to Mixed Number

The fraction 488119 can be written as the mixed number 412119.

Final Answer

The result of 12/119 added to 8/2 is:

12119+82=412119

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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