120/127 added to 68/6 in Fraction Form

The result of 120/127 added to 68/6 is: 12 106/381

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 120127 and 686.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 127 and 6 is 762.

Step 3: Convert Fractions to Equivalent Fractions

Convert 120127 to 720762
Convert 686 to 8636762

Step 4: Add the Numerators

Add the numerators: 720 + 8636 = 9356

Step 5: Simplify the Fraction

We can simplify 9356762 to its lowest form.
The greatest common divisor (GCD) of 9356 and 762 is 2.
Dividing both numerator and denominator by the GCD, we get 4678381.

Step 6: Convert to Mixed Number

The fraction 4678381 can be written as the mixed number 12106381.

Final Answer

The result of 120/127 added to 68/6 is:

120127+686=12106381

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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