233/9 added to 44/4 in Fraction Form

The result of 233/9 added to 44/4 is: 36 8/9

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2339 and 444.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 9 and 4 is 36.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2339 to 93236
Convert 444 to 39636

Step 4: Add the Numerators

Add the numerators: 932 + 396 = 1328

Step 5: Simplify the Fraction

We can simplify 132836 to its lowest form.
The greatest common divisor (GCD) of 1328 and 36 is 4.
Dividing both numerator and denominator by the GCD, we get 3329.

Step 6: Convert to Mixed Number

The fraction 3329 can be written as the mixed number 3689.

Final Answer

The result of 233/9 added to 44/4 is:

2339+444=3689

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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