20/139 added to 76/6 in Fraction Form

The result of 20/139 added to 76/6 is: 12 338/417

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20139 and 766.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 139 and 6 is 834.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20139 to 120834
Convert 766 to 10564834

Step 4: Add the Numerators

Add the numerators: 120 + 10564 = 10684

Step 5: Simplify the Fraction

We can simplify 10684834 to its lowest form.
The greatest common divisor (GCD) of 10684 and 834 is 2.
Dividing both numerator and denominator by the GCD, we get 5342417.

Step 6: Convert to Mixed Number

The fraction 5342417 can be written as the mixed number 12338417.

Final Answer

The result of 20/139 added to 76/6 is:

20139+766=12338417

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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