18/237 added to 11/2 in Fraction Form

The result of 18/237 added to 11/2 is: 5 91/158

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 18237 and 112.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 237 and 2 is 474.

Step 3: Convert Fractions to Equivalent Fractions

Convert 18237 to 36474
Convert 112 to 2607474

Step 4: Add the Numerators

Add the numerators: 36 + 2607 = 2643

Step 5: Simplify the Fraction

We can simplify 2643474 to its lowest form.
The greatest common divisor (GCD) of 2643 and 474 is 3.
Dividing both numerator and denominator by the GCD, we get 881158.

Step 6: Convert to Mixed Number

The fraction 881158 can be written as the mixed number 591158.

Final Answer

The result of 18/237 added to 11/2 is:

18237+112=591158

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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