171/81 added to 27/2 in Fraction Form

The result of 171/81 added to 27/2 is: 15 11/18

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17181 and 272.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 81 and 2 is 162.

Step 3: Convert Fractions to Equivalent Fractions

Convert 17181 to 342162
Convert 272 to 2187162

Step 4: Add the Numerators

Add the numerators: 342 + 2187 = 2529

Step 5: Simplify the Fraction

We can simplify 2529162 to its lowest form.
The greatest common divisor (GCD) of 2529 and 162 is 9.
Dividing both numerator and denominator by the GCD, we get 28118.

Step 6: Convert to Mixed Number

The fraction 28118 can be written as the mixed number 151118.

Final Answer

The result of 171/81 added to 27/2 is:

17181+272=151118

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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