27/99 added to 32/6 in Fraction Form

The result of 27/99 added to 32/6 is: 5 20/33

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2799 and 326.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 99 and 6 is 198.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2799 to 54198
Convert 326 to 1056198

Step 4: Add the Numerators

Add the numerators: 54 + 1056 = 1110

Step 5: Simplify the Fraction

We can simplify 1110198 to its lowest form.
The greatest common divisor (GCD) of 1110 and 198 is 6.
Dividing both numerator and denominator by the GCD, we get 18533.

Step 6: Convert to Mixed Number

The fraction 18533 can be written as the mixed number 52033.

Final Answer

The result of 27/99 added to 32/6 is:

2799+326=52033

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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