109/127 added to 92/6 in Fraction Form

The result of 109/127 added to 92/6 is: 16 73/381

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 109127 and 926.

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 109127 to 654762
Convert 926 to 11684762

Step 4: Add the Numerators

Add the numerators: 654 + 11684 = 12338

Step 5: Simplify the Fraction

We can simplify 12338762 to its lowest form.
The greatest common divisor (GCD) of 12338 and 762 is 2.
Dividing both numerator and denominator by the GCD, we get 6169381.

Step 6: Convert to Mixed Number

The fraction 6169381 can be written as the mixed number 1673381.

Final Answer

The result of 109/127 added to 92/6 is:

109127+926=1673381

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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