17/206 added to 85/2 in Fraction Form

The result of 17/206 added to 85/2 is: 42 60/103

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17206 and 852.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 206 and 2 is 206.

Step 3: Convert Fractions to Equivalent Fractions

Convert 17206 to 17206
Convert 852 to 8755206

Step 4: Add the Numerators

Add the numerators: 17 + 8755 = 8772

Step 5: Simplify the Fraction

We can simplify 8772206 to its lowest form.
The greatest common divisor (GCD) of 8772 and 206 is 2.
Dividing both numerator and denominator by the GCD, we get 4386103.

Step 6: Convert to Mixed Number

The fraction 4386103 can be written as the mixed number 4260103.

Final Answer

The result of 17/206 added to 85/2 is:

17206+852=4260103

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).

Fraction Calculator

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