129/85 added to 81/6 in Fraction Form

The result of 129/85 added to 81/6 is: 15 3/170

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12985 and 816.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 85 and 6 is 510.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12985 to 774510
Convert 816 to 6885510

Step 4: Add the Numerators

Add the numerators: 774 + 6885 = 7659

Step 5: Simplify the Fraction

We can simplify 7659510 to its lowest form.
The greatest common divisor (GCD) of 7659 and 510 is 3.
Dividing both numerator and denominator by the GCD, we get 2553170.

Step 6: Convert to Mixed Number

The fraction 2553170 can be written as the mixed number 153170.

Final Answer

The result of 129/85 added to 81/6 is:

12985+816=153170

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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