192/81 added to 20/3 in Fraction Form

The result of 192/81 added to 20/3 is: 9 1/27

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 19281 and 203.

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 19281 to 19281
Convert 203 to 54081

Step 4: Add the Numerators

Add the numerators: 192 + 540 = 732

Step 5: Simplify the Fraction

We can simplify 73281 to its lowest form.
The greatest common divisor (GCD) of 732 and 81 is 3.
Dividing both numerator and denominator by the GCD, we get 24427.

Step 6: Convert to Mixed Number

The fraction 24427 can be written as the mixed number 9127.

Final Answer

The result of 192/81 added to 20/3 is:

19281+203=9127

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: