82/133 added to 102/3 in Fraction Form

The result of 82/133 added to 102/3 is: 34 82/133

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 82133 and 1023.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 133 and 3 is 399.

Step 3: Convert Fractions to Equivalent Fractions

Convert 82133 to 246399
Convert 1023 to 13566399

Step 4: Add the Numerators

Add the numerators: 246 + 13566 = 13812

Step 5: Simplify the Fraction

We can simplify 13812399 to its lowest form.
The greatest common divisor (GCD) of 13812 and 399 is 3.
Dividing both numerator and denominator by the GCD, we get 4604133.

Step 6: Convert to Mixed Number

The fraction 4604133 can be written as the mixed number 3482133.

Final Answer

The result of 82/133 added to 102/3 is:

82133+1023=3482133

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).

Fraction Calculator

Calculate operations between any two fractions: