8/127 added to 129/3 in Fraction Form

The result of 8/127 added to 129/3 is: 43 8/127

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 8127 and 1293.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 127 and 3 is 381.

Step 3: Convert Fractions to Equivalent Fractions

Convert 8127 to 24381
Convert 1293 to 16383381

Step 4: Add the Numerators

Add the numerators: 24 + 16383 = 16407

Step 5: Simplify the Fraction

We can simplify 16407381 to its lowest form.
The greatest common divisor (GCD) of 16407 and 381 is 3.
Dividing both numerator and denominator by the GCD, we get 5469127.

Step 6: Convert to Mixed Number

The fraction 5469127 can be written as the mixed number 438127.

Final Answer

The result of 8/127 added to 129/3 is:

8127+1293=438127

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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