127/121 added to 38/2 in Fraction Form

The result of 127/121 added to 38/2 is: 20 6/121

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 127121 and 382.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 121 and 2 is 242.

Step 3: Convert Fractions to Equivalent Fractions

Convert 127121 to 254242
Convert 382 to 4598242

Step 4: Add the Numerators

Add the numerators: 254 + 4598 = 4852

Step 5: Simplify the Fraction

We can simplify 4852242 to its lowest form.
The greatest common divisor (GCD) of 4852 and 242 is 2.
Dividing both numerator and denominator by the GCD, we get 2426121.

Step 6: Convert to Mixed Number

The fraction 2426121 can be written as the mixed number 206121.

Final Answer

The result of 127/121 added to 38/2 is:

127121+382=206121

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

Calculate operations between any two fractions: