228/81 added to 3/4 in Fraction Form

The result of 228/81 added to 3/4 is: 3 61/108

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 22881 and 34.

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 22881 to 912324
Convert 34 to 243324

Step 4: Add the Numerators

Add the numerators: 912 + 243 = 1155

Step 5: Simplify the Fraction

We can simplify 1155324 to its lowest form.
The greatest common divisor (GCD) of 1155 and 324 is 3.
Dividing both numerator and denominator by the GCD, we get 385108.

Step 6: Convert to Mixed Number

The fraction 385108 can be written as the mixed number 361108.

Final Answer

The result of 228/81 added to 3/4 is:

22881+34=361108

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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