102/81 added to 110/2 in Fraction Form

The result of 102/81 added to 110/2 is: 56 7/27

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 10281 and 1102.

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 10281 to 204162
Convert 1102 to 8910162

Step 4: Add the Numerators

Add the numerators: 204 + 8910 = 9114

Step 5: Simplify the Fraction

We can simplify 9114162 to its lowest form.
The greatest common divisor (GCD) of 9114 and 162 is 6.
Dividing both numerator and denominator by the GCD, we get 151927.

Step 6: Convert to Mixed Number

The fraction 151927 can be written as the mixed number 56727.

Final Answer

The result of 102/81 added to 110/2 is:

10281+1102=56727

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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