27/135 added to 109/3 in Fraction Form

The result of 27/135 added to 109/3 is: 36 8/15

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 27135 and 1093.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 135 and 3 is 135.

Step 3: Convert Fractions to Equivalent Fractions

Convert 27135 to 27135
Convert 1093 to 4905135

Step 4: Add the Numerators

Add the numerators: 27 + 4905 = 4932

Step 5: Simplify the Fraction

We can simplify 4932135 to its lowest form.
The greatest common divisor (GCD) of 4932 and 135 is 9.
Dividing both numerator and denominator by the GCD, we get 54815.

Step 6: Convert to Mixed Number

The fraction 54815 can be written as the mixed number 36815.

Final Answer

The result of 27/135 added to 109/3 is:

27135+1093=36815

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: