19/139 added to 27/6 in Fraction Form

The result of 19/139 added to 27/6 is: 4 177/278

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 19139 and 276.

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 19139 to 114834
Convert 276 to 3753834

Step 4: Add the Numerators

Add the numerators: 114 + 3753 = 3867

Step 5: Simplify the Fraction

We can simplify 3867834 to its lowest form.
The greatest common divisor (GCD) of 3867 and 834 is 3.
Dividing both numerator and denominator by the GCD, we get 1289278.

Step 6: Convert to Mixed Number

The fraction 1289278 can be written as the mixed number 4177278.

Final Answer

The result of 19/139 added to 27/6 is:

19139+276=4177278

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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