124/83 added to 99/3 in Fraction Form

The result of 124/83 added to 99/3 is: 34 41/83

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12483 and 993.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 83 and 3 is 249.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12483 to 372249
Convert 993 to 8217249

Step 4: Add the Numerators

Add the numerators: 372 + 8217 = 8589

Step 5: Simplify the Fraction

We can simplify 8589249 to its lowest form.
The greatest common divisor (GCD) of 8589 and 249 is 3.
Dividing both numerator and denominator by the GCD, we get 286383.

Step 6: Convert to Mixed Number

The fraction 286383 can be written as the mixed number 344183.

Final Answer

The result of 124/83 added to 99/3 is:

12483+993=344183

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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