67/27 added to 12/6 in Fraction Form

The result of 67/27 added to 12/6 is: 4 13/27

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6727 and 126.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 27 and 6 is 54.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6727 to 13454
Convert 126 to 10854

Step 4: Add the Numerators

Add the numerators: 134 + 108 = 242

Step 5: Simplify the Fraction

We can simplify 24254 to its lowest form.
The greatest common divisor (GCD) of 242 and 54 is 2.
Dividing both numerator and denominator by the GCD, we get 12127.

Step 6: Convert to Mixed Number

The fraction 12127 can be written as the mixed number 41327.

Final Answer

The result of 67/27 added to 12/6 is:

6727+126=41327

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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