12/201 added to 99/4 in Fraction Form

The result of 12/201 added to 99/4 is: 24 217/268

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12201 and 994.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 201 and 4 is 804.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12201 to 48804
Convert 994 to 19899804

Step 4: Add the Numerators

Add the numerators: 48 + 19899 = 19947

Step 5: Simplify the Fraction

We can simplify 19947804 to its lowest form.
The greatest common divisor (GCD) of 19947 and 804 is 3.
Dividing both numerator and denominator by the GCD, we get 6649268.

Step 6: Convert to Mixed Number

The fraction 6649268 can be written as the mixed number 24217268.

Final Answer

The result of 12/201 added to 99/4 is:

12201+994=24217268

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).

Fraction Calculator

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