82/140 added to 81/6 in Fraction Form

The result of 82/140 added to 81/6 is: 14 3/35

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 82140 and 816.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 140 and 6 is 420.

Step 3: Convert Fractions to Equivalent Fractions

Convert 82140 to 246420
Convert 816 to 5670420

Step 4: Add the Numerators

Add the numerators: 246 + 5670 = 5916

Step 5: Simplify the Fraction

We can simplify 5916420 to its lowest form.
The greatest common divisor (GCD) of 5916 and 420 is 12.
Dividing both numerator and denominator by the GCD, we get 49335.

Step 6: Convert to Mixed Number

The fraction 49335 can be written as the mixed number 14335.

Final Answer

The result of 82/140 added to 81/6 is:

82140+816=14335

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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