81/102 added to 131/2 in Fraction Form

The result of 81/102 added to 131/2 is: 66 5/17

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 81102 and 1312.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 102 and 2 is 102.

Step 3: Convert Fractions to Equivalent Fractions

Convert 81102 to 81102
Convert 1312 to 6681102

Step 4: Add the Numerators

Add the numerators: 81 + 6681 = 6762

Step 5: Simplify the Fraction

We can simplify 6762102 to its lowest form.
The greatest common divisor (GCD) of 6762 and 102 is 6.
Dividing both numerator and denominator by the GCD, we get 112717.

Step 6: Convert to Mixed Number

The fraction 112717 can be written as the mixed number 66517.

Final Answer

The result of 81/102 added to 131/2 is:

81102+1312=66517

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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