36/127 added to 102/4 in Fraction Form

The result of 36/127 added to 102/4 is: 25 199/254

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 36127 and 1024.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 127 and 4 is 508.

Step 3: Convert Fractions to Equivalent Fractions

Convert 36127 to 144508
Convert 1024 to 12954508

Step 4: Add the Numerators

Add the numerators: 144 + 12954 = 13098

Step 5: Simplify the Fraction

We can simplify 13098508 to its lowest form.
The greatest common divisor (GCD) of 13098 and 508 is 2.
Dividing both numerator and denominator by the GCD, we get 6549254.

Step 6: Convert to Mixed Number

The fraction 6549254 can be written as the mixed number 25199254.

Final Answer

The result of 36/127 added to 102/4 is:

36127+1024=25199254

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).

Fraction Calculator

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