5/181 added to 99/3 in Fraction Form

The result of 5/181 added to 99/3 is: 33 5/181

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 5181 and 993.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 181 and 3 is 543.

Step 3: Convert Fractions to Equivalent Fractions

Convert 5181 to 15543
Convert 993 to 17919543

Step 4: Add the Numerators

Add the numerators: 15 + 17919 = 17934

Step 5: Simplify the Fraction

We can simplify 17934543 to its lowest form.
The greatest common divisor (GCD) of 17934 and 543 is 3.
Dividing both numerator and denominator by the GCD, we get 5978181.

Step 6: Convert to Mixed Number

The fraction 5978181 can be written as the mixed number 335181.

Final Answer

The result of 5/181 added to 99/3 is:

5181+993=335181

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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