18/201 added to 72/2 in Fraction Form

The result of 18/201 added to 72/2 is: 36 6/67

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 18201 and 722.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 201 and 2 is 402.

Step 3: Convert Fractions to Equivalent Fractions

Convert 18201 to 36402
Convert 722 to 14472402

Step 4: Add the Numerators

Add the numerators: 36 + 14472 = 14508

Step 5: Simplify the Fraction

We can simplify 14508402 to its lowest form.
The greatest common divisor (GCD) of 14508 and 402 is 6.
Dividing both numerator and denominator by the GCD, we get 241867.

Step 6: Convert to Mixed Number

The fraction 241867 can be written as the mixed number 36667.

Final Answer

The result of 18/201 added to 72/2 is:

18201+722=36667

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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