83/121 added to 82/2 in Fraction Form

The result of 83/121 added to 82/2 is: 41 83/121

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 83121 and 822.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 121 and 2 is 242.

Step 3: Convert Fractions to Equivalent Fractions

Convert 83121 to 166242
Convert 822 to 9922242

Step 4: Add the Numerators

Add the numerators: 166 + 9922 = 10088

Step 5: Simplify the Fraction

We can simplify 10088242 to its lowest form.
The greatest common divisor (GCD) of 10088 and 242 is 2.
Dividing both numerator and denominator by the GCD, we get 5044121.

Step 6: Convert to Mixed Number

The fraction 5044121 can be written as the mixed number 4183121.

Final Answer

The result of 83/121 added to 82/2 is:

83121+822=4183121

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: