127/113 added to 2/2 in Fraction Form

The result of 127/113 added to 2/2 is: 2 14/113

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 127113 and 22.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 113 and 2 is 226.

Step 3: Convert Fractions to Equivalent Fractions

Convert 127113 to 254226
Convert 22 to 226226

Step 4: Add the Numerators

Add the numerators: 254 + 226 = 480

Step 5: Simplify the Fraction

We can simplify 480226 to its lowest form.
The greatest common divisor (GCD) of 480 and 226 is 2.
Dividing both numerator and denominator by the GCD, we get 240113.

Step 6: Convert to Mixed Number

The fraction 240113 can be written as the mixed number 214113.

Final Answer

The result of 127/113 added to 2/2 is:

127113+22=214113

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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