81/99 added to 80/2 in Fraction Form

The result of 81/99 added to 80/2 is: 40 9/11

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 8199 and 802.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 99 and 2 is 198.

Step 3: Convert Fractions to Equivalent Fractions

Convert 8199 to 162198
Convert 802 to 7920198

Step 4: Add the Numerators

Add the numerators: 162 + 7920 = 8082

Step 5: Simplify the Fraction

We can simplify 8082198 to its lowest form.
The greatest common divisor (GCD) of 8082 and 198 is 18.
Dividing both numerator and denominator by the GCD, we get 44911.

Step 6: Convert to Mixed Number

The fraction 44911 can be written as the mixed number 40911.

Final Answer

The result of 81/99 added to 80/2 is:

8199+802=40911

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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