99/201 added to 11/4 in Fraction Form

The result of 99/201 added to 11/4 is: 3 65/268

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 99201 and 114.

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 99201 to 396804
Convert 114 to 2211804

Step 4: Add the Numerators

Add the numerators: 396 + 2211 = 2607

Step 5: Simplify the Fraction

We can simplify 2607804 to its lowest form.
The greatest common divisor (GCD) of 2607 and 804 is 3.
Dividing both numerator and denominator by the GCD, we get 869268.

Step 6: Convert to Mixed Number

The fraction 869268 can be written as the mixed number 365268.

Final Answer

The result of 99/201 added to 11/4 is:

99201+114=365268

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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