127/107 added to 96/2 in Fraction Form

The result of 127/107 added to 96/2 is: 49 20/107

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 127107 and 962.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 107 and 2 is 214.

Step 3: Convert Fractions to Equivalent Fractions

Convert 127107 to 254214
Convert 962 to 10272214

Step 4: Add the Numerators

Add the numerators: 254 + 10272 = 10526

Step 5: Simplify the Fraction

We can simplify 10526214 to its lowest form.
The greatest common divisor (GCD) of 10526 and 214 is 2.
Dividing both numerator and denominator by the GCD, we get 5263107.

Step 6: Convert to Mixed Number

The fraction 5263107 can be written as the mixed number 4920107.

Final Answer

The result of 127/107 added to 96/2 is:

127107+962=4920107

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

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