21/102 added to 129/6 in Fraction Form

The result of 21/102 added to 129/6 is: 21 12/17

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21102 and 1296.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 102 and 6 is 102.

Step 3: Convert Fractions to Equivalent Fractions

Convert 21102 to 21102
Convert 1296 to 2193102

Step 4: Add the Numerators

Add the numerators: 21 + 2193 = 2214

Step 5: Simplify the Fraction

We can simplify 2214102 to its lowest form.
The greatest common divisor (GCD) of 2214 and 102 is 6.
Dividing both numerator and denominator by the GCD, we get 36917.

Step 6: Convert to Mixed Number

The fraction 36917 can be written as the mixed number 211217.

Final Answer

The result of 21/102 added to 129/6 is:

21102+1296=211217

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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