81/83 added to 141/3 in Fraction Form

The result of 81/83 added to 141/3 is: 47 81/83

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 8183 and 1413.

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 8183 to 243249
Convert 1413 to 11703249

Step 4: Add the Numerators

Add the numerators: 243 + 11703 = 11946

Step 5: Simplify the Fraction

We can simplify 11946249 to its lowest form.
The greatest common divisor (GCD) of 11946 and 249 is 3.
Dividing both numerator and denominator by the GCD, we get 398283.

Step 6: Convert to Mixed Number

The fraction 398283 can be written as the mixed number 478183.

Final Answer

The result of 81/83 added to 141/3 is:

8183+1413=478183

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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