83/127 added to 76/6 in Fraction Form

The result of 83/127 added to 76/6 is: 13 122/381

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 83127 and 766.

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 83127 to 498762
Convert 766 to 9652762

Step 4: Add the Numerators

Add the numerators: 498 + 9652 = 10150

Step 5: Simplify the Fraction

We can simplify 10150762 to its lowest form.
The greatest common divisor (GCD) of 10150 and 762 is 2.
Dividing both numerator and denominator by the GCD, we get 5075381.

Step 6: Convert to Mixed Number

The fraction 5075381 can be written as the mixed number 13122381.

Final Answer

The result of 83/127 added to 76/6 is:

83127+766=13122381

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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