66/27 added to 13/3 in Fraction Form

The result of 66/27 added to 13/3 is: 6 7/9

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6627 and 133.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 27 and 3 is 27.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6627 to 6627
Convert 133 to 11727

Step 4: Add the Numerators

Add the numerators: 66 + 117 = 183

Step 5: Simplify the Fraction

We can simplify 18327 to its lowest form.
The greatest common divisor (GCD) of 183 and 27 is 3.
Dividing both numerator and denominator by the GCD, we get 619.

Step 6: Convert to Mixed Number

The fraction 619 can be written as the mixed number 679.

Final Answer

The result of 66/27 added to 13/3 is:

6627+133=679

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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