20/218 added to 83/3 in Fraction Form

The result of 20/218 added to 83/3 is: 27 248/327

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20218 and 833.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 218 and 3 is 654.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20218 to 60654
Convert 833 to 18094654

Step 4: Add the Numerators

Add the numerators: 60 + 18094 = 18154

Step 5: Simplify the Fraction

We can simplify 18154654 to its lowest form.
The greatest common divisor (GCD) of 18154 and 654 is 2.
Dividing both numerator and denominator by the GCD, we get 9077327.

Step 6: Convert to Mixed Number

The fraction 9077327 can be written as the mixed number 27248327.

Final Answer

The result of 20/218 added to 83/3 is:

20218+833=27248327

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

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