67/206 added to 3/2 in Fraction Form

The result of 67/206 added to 3/2 is: 1 85/103

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 67206 and 32.

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 67206 to 67206
Convert 32 to 309206

Step 4: Add the Numerators

Add the numerators: 67 + 309 = 376

Step 5: Simplify the Fraction

We can simplify 376206 to its lowest form.
The greatest common divisor (GCD) of 376 and 206 is 2.
Dividing both numerator and denominator by the GCD, we get 188103.

Step 6: Convert to Mixed Number

The fraction 188103 can be written as the mixed number 185103.

Final Answer

The result of 67/206 added to 3/2 is:

67206+32=185103

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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