20/99 added to 44/2 in Fraction Form

The result of 20/99 added to 44/2 is: 22 20/99

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2099 and 442.

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 2099 to 40198
Convert 442 to 4356198

Step 4: Add the Numerators

Add the numerators: 40 + 4356 = 4396

Step 5: Simplify the Fraction

We can simplify 4396198 to its lowest form.
The greatest common divisor (GCD) of 4396 and 198 is 2.
Dividing both numerator and denominator by the GCD, we get 219899.

Step 6: Convert to Mixed Number

The fraction 219899 can be written as the mixed number 222099.

Final Answer

The result of 20/99 added to 44/2 is:

2099+442=222099

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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