17/194 added to 1/6 in Fraction Form

The result of 17/194 added to 1/6 is: 74/291

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17194 and 16.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 194 and 6 is 582.

Step 3: Convert Fractions to Equivalent Fractions

Convert 17194 to 51582
Convert 16 to 97582

Step 4: Add the Numerators

Add the numerators: 51 + 97 = 148

Step 5: Simplify the Fraction

We can simplify 148582 to its lowest form.
The greatest common divisor (GCD) of 148 and 582 is 2.
Dividing both numerator and denominator by the GCD, we get 74291.

Final Answer

The result of 17/194 added to 1/6 is:

17194+16=74291

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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