20/18 added to 209/3 in Fraction Form

The result of 20/18 added to 209/3 is: 70 7/9

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2018 and 2093.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 18 and 3 is 18.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2018 to 2018
Convert 2093 to 125418

Step 4: Add the Numerators

Add the numerators: 20 + 1254 = 1274

Step 5: Simplify the Fraction

We can simplify 127418 to its lowest form.
The greatest common divisor (GCD) of 1274 and 18 is 2.
Dividing both numerator and denominator by the GCD, we get 6379.

Step 6: Convert to Mixed Number

The fraction 6379 can be written as the mixed number 7079.

Final Answer

The result of 20/18 added to 209/3 is:

2018+2093=7079

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: