83/26 added to 6/6 in Fraction Form

The result of 83/26 added to 6/6 is: 4 5/26

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 8326 and 66.

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 8326 to 24978
Convert 66 to 7878

Step 4: Add the Numerators

Add the numerators: 249 + 78 = 327

Step 5: Simplify the Fraction

We can simplify 32778 to its lowest form.
The greatest common divisor (GCD) of 327 and 78 is 3.
Dividing both numerator and denominator by the GCD, we get 10926.

Step 6: Convert to Mixed Number

The fraction 10926 can be written as the mixed number 4526.

Final Answer

The result of 83/26 added to 6/6 is:

8326+66=4526

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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