221/81 added to 4/4 in Fraction Form

The result of 221/81 added to 4/4 is: 3 59/81

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 22181 and 44.

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 22181 to 884324
Convert 44 to 324324

Step 4: Add the Numerators

Add the numerators: 884 + 324 = 1208

Step 5: Simplify the Fraction

We can simplify 1208324 to its lowest form.
The greatest common divisor (GCD) of 1208 and 324 is 4.
Dividing both numerator and denominator by the GCD, we get 30281.

Step 6: Convert to Mixed Number

The fraction 30281 can be written as the mixed number 35981.

Final Answer

The result of 221/81 added to 4/4 is:

22181+44=35981

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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