27/214 added to 81/2 in Fraction Form

The result of 27/214 added to 81/2 is: 40 67/107

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 27214 and 812.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 214 and 2 is 214.

Step 3: Convert Fractions to Equivalent Fractions

Convert 27214 to 27214
Convert 812 to 8667214

Step 4: Add the Numerators

Add the numerators: 27 + 8667 = 8694

Step 5: Simplify the Fraction

We can simplify 8694214 to its lowest form.
The greatest common divisor (GCD) of 8694 and 214 is 2.
Dividing both numerator and denominator by the GCD, we get 4347107.

Step 6: Convert to Mixed Number

The fraction 4347107 can be written as the mixed number 4067107.

Final Answer

The result of 27/214 added to 81/2 is:

27214+812=4067107

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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