82/137 added to 102/2 in Fraction Form

The result of 82/137 added to 102/2 is: 51 82/137

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 82137 and 1022.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 137 and 2 is 274.

Step 3: Convert Fractions to Equivalent Fractions

Convert 82137 to 164274
Convert 1022 to 13974274

Step 4: Add the Numerators

Add the numerators: 164 + 13974 = 14138

Step 5: Simplify the Fraction

We can simplify 14138274 to its lowest form.
The greatest common divisor (GCD) of 14138 and 274 is 2.
Dividing both numerator and denominator by the GCD, we get 7069137.

Step 6: Convert to Mixed Number

The fraction 7069137 can be written as the mixed number 5182137.

Final Answer

The result of 82/137 added to 102/2 is:

82137+1022=5182137

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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