17/206 added to 15/2 in Fraction Form

The result of 17/206 added to 15/2 is: 7 60/103

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17206 and 152.

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 152 to 1545206

Step 4: Add the Numerators

Add the numerators: 17 + 1545 = 1562

Step 5: Simplify the Fraction

We can simplify 1562206 to its lowest form.
The greatest common divisor (GCD) of 1562 and 206 is 2.
Dividing both numerator and denominator by the GCD, we get 781103.

Step 6: Convert to Mixed Number

The fraction 781103 can be written as the mixed number 760103.

Final Answer

The result of 17/206 added to 15/2 is:

17206+152=760103

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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