30/81 added to 180/2 in Fraction Form

The result of 30/81 added to 180/2 is: 90 10/27

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3081 and 1802.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 81 and 2 is 162.

Step 3: Convert Fractions to Equivalent Fractions

Convert 3081 to 60162
Convert 1802 to 14580162

Step 4: Add the Numerators

Add the numerators: 60 + 14580 = 14640

Step 5: Simplify the Fraction

We can simplify 14640162 to its lowest form.
The greatest common divisor (GCD) of 14640 and 162 is 6.
Dividing both numerator and denominator by the GCD, we get 244027.

Step 6: Convert to Mixed Number

The fraction 244027 can be written as the mixed number 901027.

Final Answer

The result of 30/81 added to 180/2 is:

3081+1802=901027

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: