17/113 added to 170/2 in Fraction Form

The result of 17/113 added to 170/2 is: 85 17/113

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17113 and 1702.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 113 and 2 is 226.

Step 3: Convert Fractions to Equivalent Fractions

Convert 17113 to 34226
Convert 1702 to 19210226

Step 4: Add the Numerators

Add the numerators: 34 + 19210 = 19244

Step 5: Simplify the Fraction

We can simplify 19244226 to its lowest form.
The greatest common divisor (GCD) of 19244 and 226 is 2.
Dividing both numerator and denominator by the GCD, we get 9622113.

Step 6: Convert to Mixed Number

The fraction 9622113 can be written as the mixed number 8517113.

Final Answer

The result of 17/113 added to 170/2 is:

17113+1702=8517113

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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