28/233 added to 66/4 in Fraction Form

The result of 28/233 added to 66/4 is: 16 289/466

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 28233 and 664.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 233 and 4 is 932.

Step 3: Convert Fractions to Equivalent Fractions

Convert 28233 to 112932
Convert 664 to 15378932

Step 4: Add the Numerators

Add the numerators: 112 + 15378 = 15490

Step 5: Simplify the Fraction

We can simplify 15490932 to its lowest form.
The greatest common divisor (GCD) of 15490 and 932 is 2.
Dividing both numerator and denominator by the GCD, we get 7745466.

Step 6: Convert to Mixed Number

The fraction 7745466 can be written as the mixed number 16289466.

Final Answer

The result of 28/233 added to 66/4 is:

28233+664=16289466

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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