233/65 added to 4/2 in Fraction Form

The result of 233/65 added to 4/2 is: 5 38/65

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 23365 and 42.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 65 and 2 is 130.

Step 3: Convert Fractions to Equivalent Fractions

Convert 23365 to 466130
Convert 42 to 260130

Step 4: Add the Numerators

Add the numerators: 466 + 260 = 726

Step 5: Simplify the Fraction

We can simplify 726130 to its lowest form.
The greatest common divisor (GCD) of 726 and 130 is 2.
Dividing both numerator and denominator by the GCD, we get 36365.

Step 6: Convert to Mixed Number

The fraction 36365 can be written as the mixed number 53865.

Final Answer

The result of 233/65 added to 4/2 is:

23365+42=53865

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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