181/81 added to 4/4 in Fraction Form

The result of 181/81 added to 4/4 is: 3 19/81

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 18181 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 18181 to 724324
Convert 44 to 324324

Step 4: Add the Numerators

Add the numerators: 724 + 324 = 1048

Step 5: Simplify the Fraction

We can simplify 1048324 to its lowest form.
The greatest common divisor (GCD) of 1048 and 324 is 4.
Dividing both numerator and denominator by the GCD, we get 26281.

Step 6: Convert to Mixed Number

The fraction 26281 can be written as the mixed number 31981.

Final Answer

The result of 181/81 added to 4/4 is:

18181+44=31981

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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