27/180 added to 82/2 in Fraction Form

The result of 27/180 added to 82/2 is: 41 3/20

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 27180 and 822.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 180 and 2 is 180.

Step 3: Convert Fractions to Equivalent Fractions

Convert 27180 to 27180
Convert 822 to 7380180

Step 4: Add the Numerators

Add the numerators: 27 + 7380 = 7407

Step 5: Simplify the Fraction

We can simplify 7407180 to its lowest form.
The greatest common divisor (GCD) of 7407 and 180 is 9.
Dividing both numerator and denominator by the GCD, we get 82320.

Step 6: Convert to Mixed Number

The fraction 82320 can be written as the mixed number 41320.

Final Answer

The result of 27/180 added to 82/2 is:

27180+822=41320

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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