27/171 added to 102/3 in Fraction Form

The result of 27/171 added to 102/3 is: 34 3/19

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 27171 and 1023.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 171 and 3 is 171.

Step 3: Convert Fractions to Equivalent Fractions

Convert 27171 to 27171
Convert 1023 to 5814171

Step 4: Add the Numerators

Add the numerators: 27 + 5814 = 5841

Step 5: Simplify the Fraction

We can simplify 5841171 to its lowest form.
The greatest common divisor (GCD) of 5841 and 171 is 9.
Dividing both numerator and denominator by the GCD, we get 64919.

Step 6: Convert to Mixed Number

The fraction 64919 can be written as the mixed number 34319.

Final Answer

The result of 27/171 added to 102/3 is:

27171+1023=34319

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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