17/166 added to 81/6 in Fraction Form

The result of 17/166 added to 81/6 is: 13 50/83

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17166 and 816.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 166 and 6 is 498.

Step 3: Convert Fractions to Equivalent Fractions

Convert 17166 to 51498
Convert 816 to 6723498

Step 4: Add the Numerators

Add the numerators: 51 + 6723 = 6774

Step 5: Simplify the Fraction

We can simplify 6774498 to its lowest form.
The greatest common divisor (GCD) of 6774 and 498 is 6.
Dividing both numerator and denominator by the GCD, we get 112983.

Step 6: Convert to Mixed Number

The fraction 112983 can be written as the mixed number 135083.

Final Answer

The result of 17/166 added to 81/6 is:

17166+816=135083

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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