22/99 added to 198/3 in Fraction Form

The result of 22/99 added to 198/3 is: 66 2/9

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2299 and 1983.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 99 and 3 is 99.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2299 to 2299
Convert 1983 to 653499

Step 4: Add the Numerators

Add the numerators: 22 + 6534 = 6556

Step 5: Simplify the Fraction

We can simplify 655699 to its lowest form.
The greatest common divisor (GCD) of 6556 and 99 is 11.
Dividing both numerator and denominator by the GCD, we get 5969.

Step 6: Convert to Mixed Number

The fraction 5969 can be written as the mixed number 6629.

Final Answer

The result of 22/99 added to 198/3 is:

2299+1983=6629

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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