55/127 added to 128/4 in Fraction Form

The result of 55/127 added to 128/4 is: 32 55/127

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 55127 and 1284.

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 55127 to 220508
Convert 1284 to 16256508

Step 4: Add the Numerators

Add the numerators: 220 + 16256 = 16476

Step 5: Simplify the Fraction

We can simplify 16476508 to its lowest form.
The greatest common divisor (GCD) of 16476 and 508 is 4.
Dividing both numerator and denominator by the GCD, we get 4119127.

Step 6: Convert to Mixed Number

The fraction 4119127 can be written as the mixed number 3255127.

Final Answer

The result of 55/127 added to 128/4 is:

55127+1284=3255127

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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