18/241 added to 24/2 in Fraction Form

The result of 18/241 added to 24/2 is: 12 18/241

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 18241 and 242.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 241 and 2 is 482.

Step 3: Convert Fractions to Equivalent Fractions

Convert 18241 to 36482
Convert 242 to 5784482

Step 4: Add the Numerators

Add the numerators: 36 + 5784 = 5820

Step 5: Simplify the Fraction

We can simplify 5820482 to its lowest form.
The greatest common divisor (GCD) of 5820 and 482 is 2.
Dividing both numerator and denominator by the GCD, we get 2910241.

Step 6: Convert to Mixed Number

The fraction 2910241 can be written as the mixed number 1218241.

Final Answer

The result of 18/241 added to 24/2 is:

18241+242=1218241

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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