122/127 added to 36/4 in Fraction Form

The result of 122/127 added to 36/4 is: 9 122/127

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 122127 and 364.

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 122127 to 488508
Convert 364 to 4572508

Step 4: Add the Numerators

Add the numerators: 488 + 4572 = 5060

Step 5: Simplify the Fraction

We can simplify 5060508 to its lowest form.
The greatest common divisor (GCD) of 5060 and 508 is 4.
Dividing both numerator and denominator by the GCD, we get 1265127.

Step 6: Convert to Mixed Number

The fraction 1265127 can be written as the mixed number 9122127.

Final Answer

The result of 122/127 added to 36/4 is:

122127+364=9122127

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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