2/109 added to 27/3 in Fraction Form

The result of 2/109 added to 27/3 is: 9 2/109

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2109 and 273.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 109 and 3 is 327.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2109 to 6327
Convert 273 to 2943327

Step 4: Add the Numerators

Add the numerators: 6 + 2943 = 2949

Step 5: Simplify the Fraction

We can simplify 2949327 to its lowest form.
The greatest common divisor (GCD) of 2949 and 327 is 3.
Dividing both numerator and denominator by the GCD, we get 983109.

Step 6: Convert to Mixed Number

The fraction 983109 can be written as the mixed number 92109.

Final Answer

The result of 2/109 added to 27/3 is:

2109+273=92109

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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