4/163 added to 99/3 in Fraction Form

The result of 4/163 added to 99/3 is: 33 4/163

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 4163 and 993.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 163 and 3 is 489.

Step 3: Convert Fractions to Equivalent Fractions

Convert 4163 to 12489
Convert 993 to 16137489

Step 4: Add the Numerators

Add the numerators: 12 + 16137 = 16149

Step 5: Simplify the Fraction

We can simplify 16149489 to its lowest form.
The greatest common divisor (GCD) of 16149 and 489 is 3.
Dividing both numerator and denominator by the GCD, we get 5383163.

Step 6: Convert to Mixed Number

The fraction 5383163 can be written as the mixed number 334163.

Final Answer

The result of 4/163 added to 99/3 is:

4163+993=334163

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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