83/170 added to 1/6 in Fraction Form

The result of 83/170 added to 1/6 is: 167/255

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 83170 and 16.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 170 and 6 is 510.

Step 3: Convert Fractions to Equivalent Fractions

Convert 83170 to 249510
Convert 16 to 85510

Step 4: Add the Numerators

Add the numerators: 249 + 85 = 334

Step 5: Simplify the Fraction

We can simplify 334510 to its lowest form.
The greatest common divisor (GCD) of 334 and 510 is 2.
Dividing both numerator and denominator by the GCD, we get 167255.

Final Answer

The result of 83/170 added to 1/6 is:

83170+16=167255

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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