214/81 added to 2/2 in Fraction Form

The result of 214/81 added to 2/2 is: 3 52/81

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21481 and 22.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 81 and 2 is 162.

Step 3: Convert Fractions to Equivalent Fractions

Convert 21481 to 428162
Convert 22 to 162162

Step 4: Add the Numerators

Add the numerators: 428 + 162 = 590

Step 5: Simplify the Fraction

We can simplify 590162 to its lowest form.
The greatest common divisor (GCD) of 590 and 162 is 2.
Dividing both numerator and denominator by the GCD, we get 29581.

Step 6: Convert to Mixed Number

The fraction 29581 can be written as the mixed number 35281.

Final Answer

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

21481+22=35281

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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