204/81 added to 24/4 in Fraction Form

The result of 204/81 added to 24/4 is: 8 14/27

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20481 and 244.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 81 and 4 is 324.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20481 to 816324
Convert 244 to 1944324

Step 4: Add the Numerators

Add the numerators: 816 + 1944 = 2760

Step 5: Simplify the Fraction

We can simplify 2760324 to its lowest form.
The greatest common divisor (GCD) of 2760 and 324 is 12.
Dividing both numerator and denominator by the GCD, we get 23027.

Step 6: Convert to Mixed Number

The fraction 23027 can be written as the mixed number 81427.

Final Answer

The result of 204/81 added to 24/4 is:

20481+244=81427

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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