203/9 added to 82/2 in Fraction Form

The result of 203/9 added to 82/2 is: 63 5/9

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2039 and 822.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 9 and 2 is 18.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2039 to 40618
Convert 822 to 73818

Step 4: Add the Numerators

Add the numerators: 406 + 738 = 1144

Step 5: Simplify the Fraction

We can simplify 114418 to its lowest form.
The greatest common divisor (GCD) of 1144 and 18 is 2.
Dividing both numerator and denominator by the GCD, we get 5729.

Step 6: Convert to Mixed Number

The fraction 5729 can be written as the mixed number 6359.

Final Answer

The result of 203/9 added to 82/2 is:

2039+822=6359

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: