39/33 added to 233/2 in Fraction Form

The result of 39/33 added to 233/2 is: 117 15/22

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3933 and 2332.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 33 and 2 is 66.

Step 3: Convert Fractions to Equivalent Fractions

Convert 3933 to 7866
Convert 2332 to 768966

Step 4: Add the Numerators

Add the numerators: 78 + 7689 = 7767

Step 5: Simplify the Fraction

We can simplify 776766 to its lowest form.
The greatest common divisor (GCD) of 7767 and 66 is 3.
Dividing both numerator and denominator by the GCD, we get 258922.

Step 6: Convert to Mixed Number

The fraction 258922 can be written as the mixed number 1171522.

Final Answer

The result of 39/33 added to 233/2 is:

3933+2332=1171522

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).

Fraction Calculator

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