86/127 added to 100/6 in Fraction Form

The result of 86/127 added to 100/6 is: 17 131/381

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 86127 and 1006.

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 86127 to 516762
Convert 1006 to 12700762

Step 4: Add the Numerators

Add the numerators: 516 + 12700 = 13216

Step 5: Simplify the Fraction

We can simplify 13216762 to its lowest form.
The greatest common divisor (GCD) of 13216 and 762 is 2.
Dividing both numerator and denominator by the GCD, we get 6608381.

Step 6: Convert to Mixed Number

The fraction 6608381 can be written as the mixed number 17131381.

Final Answer

The result of 86/127 added to 100/6 is:

86127+1006=17131381

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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