18/233 added to 30/2 in Fraction Form

The result of 18/233 added to 30/2 is: 15 18/233

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 18233 and 302.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 233 and 2 is 466.

Step 3: Convert Fractions to Equivalent Fractions

Convert 18233 to 36466
Convert 302 to 6990466

Step 4: Add the Numerators

Add the numerators: 36 + 6990 = 7026

Step 5: Simplify the Fraction

We can simplify 7026466 to its lowest form.
The greatest common divisor (GCD) of 7026 and 466 is 2.
Dividing both numerator and denominator by the GCD, we get 3513233.

Step 6: Convert to Mixed Number

The fraction 3513233 can be written as the mixed number 1518233.

Final Answer

The result of 18/233 added to 30/2 is:

18233+302=1518233

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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