21/81 added to 191/3 in Fraction Form

The result of 21/81 added to 191/3 is: 63 25/27

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2181 and 1913.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 81 and 3 is 81.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2181 to 2181
Convert 1913 to 515781

Step 4: Add the Numerators

Add the numerators: 21 + 5157 = 5178

Step 5: Simplify the Fraction

We can simplify 517881 to its lowest form.
The greatest common divisor (GCD) of 5178 and 81 is 3.
Dividing both numerator and denominator by the GCD, we get 172627.

Step 6: Convert to Mixed Number

The fraction 172627 can be written as the mixed number 632527.

Final Answer

The result of 21/81 added to 191/3 is:

2181+1913=632527

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).

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