18/201 added to 7/2 in Fraction Form

The result of 18/201 added to 7/2 is: 3 79/134

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 18201 and 72.

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 72 to 1407402

Step 4: Add the Numerators

Add the numerators: 36 + 1407 = 1443

Step 5: Simplify the Fraction

We can simplify 1443402 to its lowest form.
The greatest common divisor (GCD) of 1443 and 402 is 3.
Dividing both numerator and denominator by the GCD, we get 481134.

Step 6: Convert to Mixed Number

The fraction 481134 can be written as the mixed number 379134.

Final Answer

The result of 18/201 added to 7/2 is:

18201+72=379134

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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