2/207 added to 82/2 in Fraction Form

The result of 2/207 added to 82/2 is: 41 2/207

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2207 and 822.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 207 and 2 is 414.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2207 to 4414
Convert 822 to 16974414

Step 4: Add the Numerators

Add the numerators: 4 + 16974 = 16978

Step 5: Simplify the Fraction

We can simplify 16978414 to its lowest form.
The greatest common divisor (GCD) of 16978 and 414 is 2.
Dividing both numerator and denominator by the GCD, we get 8489207.

Step 6: Convert to Mixed Number

The fraction 8489207 can be written as the mixed number 412207.

Final Answer

The result of 2/207 added to 82/2 is:

2207+822=412207

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: