81/194 added to 24/3 in Fraction Form

The result of 81/194 added to 24/3 is: 8 81/194

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 81194 and 243.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 194 and 3 is 582.

Step 3: Convert Fractions to Equivalent Fractions

Convert 81194 to 243582
Convert 243 to 4656582

Step 4: Add the Numerators

Add the numerators: 243 + 4656 = 4899

Step 5: Simplify the Fraction

We can simplify 4899582 to its lowest form.
The greatest common divisor (GCD) of 4899 and 582 is 3.
Dividing both numerator and denominator by the GCD, we get 1633194.

Step 6: Convert to Mixed Number

The fraction 1633194 can be written as the mixed number 881194.

Final Answer

The result of 81/194 added to 24/3 is:

81194+243=881194

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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