28/46 added to 233/3 in Fraction Form

The result of 28/46 added to 233/3 is: 78 19/69

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2846 and 2333.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 46 and 3 is 138.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2846 to 84138
Convert 2333 to 10718138

Step 4: Add the Numerators

Add the numerators: 84 + 10718 = 10802

Step 5: Simplify the Fraction

We can simplify 10802138 to its lowest form.
The greatest common divisor (GCD) of 10802 and 138 is 2.
Dividing both numerator and denominator by the GCD, we get 540169.

Step 6: Convert to Mixed Number

The fraction 540169 can be written as the mixed number 781969.

Final Answer

The result of 28/46 added to 233/3 is:

2846+2333=781969

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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