82/41 added to 9/3 in Fraction Form

The result of 82/41 added to 9/3 is: 5

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 8241 and 93.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 41 and 3 is 123.

Step 3: Convert Fractions to Equivalent Fractions

Convert 8241 to 246123
Convert 93 to 369123

Step 4: Add the Numerators

Add the numerators: 246 + 369 = 615

Step 5: Simplify the Fraction

We can simplify 615123 to its lowest form.
The greatest common divisor (GCD) of 615 and 123 is 123.
Dividing both numerator and denominator by the GCD, we get 51.

Final Answer

The result of 82/41 added to 9/3 is:

8241+93=5

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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