12/127 added to 144/4 in Fraction Form

The result of 12/127 added to 144/4 is: 36 12/127

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12127 and 1444.

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 12127 to 48508
Convert 1444 to 18288508

Step 4: Add the Numerators

Add the numerators: 48 + 18288 = 18336

Step 5: Simplify the Fraction

We can simplify 18336508 to its lowest form.
The greatest common divisor (GCD) of 18336 and 508 is 4.
Dividing both numerator and denominator by the GCD, we get 4584127.

Step 6: Convert to Mixed Number

The fraction 4584127 can be written as the mixed number 3612127.

Final Answer

The result of 12/127 added to 144/4 is:

12127+1444=3612127

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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