27/206 added to 67/2 in Fraction Form

The result of 27/206 added to 67/2 is: 33 65/103

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 27206 and 672.

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 27206 to 27206
Convert 672 to 6901206

Step 4: Add the Numerators

Add the numerators: 27 + 6901 = 6928

Step 5: Simplify the Fraction

We can simplify 6928206 to its lowest form.
The greatest common divisor (GCD) of 6928 and 206 is 2.
Dividing both numerator and denominator by the GCD, we get 3464103.

Step 6: Convert to Mixed Number

The fraction 3464103 can be written as the mixed number 3365103.

Final Answer

The result of 27/206 added to 67/2 is:

27206+672=3365103

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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