12/109 added to 9/6 in Fraction Form

The result of 12/109 added to 9/6 is: 1 133/218

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12109 and 96.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 109 and 6 is 654.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12109 to 72654
Convert 96 to 981654

Step 4: Add the Numerators

Add the numerators: 72 + 981 = 1053

Step 5: Simplify the Fraction

We can simplify 1053654 to its lowest form.
The greatest common divisor (GCD) of 1053 and 654 is 3.
Dividing both numerator and denominator by the GCD, we get 351218.

Step 6: Convert to Mixed Number

The fraction 351218 can be written as the mixed number 1133218.

Final Answer

The result of 12/109 added to 9/6 is:

12109+96=1133218

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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