21/81 added to 80/6 in Fraction Form

The result of 21/81 added to 80/6 is: 13 16/27

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2181 and 806.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 81 and 6 is 162.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2181 to 42162
Convert 806 to 2160162

Step 4: Add the Numerators

Add the numerators: 42 + 2160 = 2202

Step 5: Simplify the Fraction

We can simplify 2202162 to its lowest form.
The greatest common divisor (GCD) of 2202 and 162 is 6.
Dividing both numerator and denominator by the GCD, we get 36727.

Step 6: Convert to Mixed Number

The fraction 36727 can be written as the mixed number 131627.

Final Answer

The result of 21/81 added to 80/6 is:

2181+806=131627

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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