19/26 added to 211/6 in Fraction Form

The result of 19/26 added to 211/6 is: 35 35/39

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1926 and 2116.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 26 and 6 is 78.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1926 to 5778
Convert 2116 to 274378

Step 4: Add the Numerators

Add the numerators: 57 + 2743 = 2800

Step 5: Simplify the Fraction

We can simplify 280078 to its lowest form.
The greatest common divisor (GCD) of 2800 and 78 is 2.
Dividing both numerator and denominator by the GCD, we get 140039.

Step 6: Convert to Mixed Number

The fraction 140039 can be written as the mixed number 353539.

Final Answer

The result of 19/26 added to 211/6 is:

1926+2116=353539

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).

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