41/233 added to 39/3 in Fraction Form

The result of 41/233 added to 39/3 is: 13 41/233

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 41233 and 393.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 233 and 3 is 699.

Step 3: Convert Fractions to Equivalent Fractions

Convert 41233 to 123699
Convert 393 to 9087699

Step 4: Add the Numerators

Add the numerators: 123 + 9087 = 9210

Step 5: Simplify the Fraction

We can simplify 9210699 to its lowest form.
The greatest common divisor (GCD) of 9210 and 699 is 3.
Dividing both numerator and denominator by the GCD, we get 3070233.

Step 6: Convert to Mixed Number

The fraction 3070233 can be written as the mixed number 1341233.

Final Answer

The result of 41/233 added to 39/3 is:

41233+393=1341233

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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