82/142 added to 81/6 in Fraction Form

The result of 82/142 added to 81/6 is: 14 11/142

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 82142 and 816.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 142 and 6 is 426.

Step 3: Convert Fractions to Equivalent Fractions

Convert 82142 to 246426
Convert 816 to 5751426

Step 4: Add the Numerators

Add the numerators: 246 + 5751 = 5997

Step 5: Simplify the Fraction

We can simplify 5997426 to its lowest form.
The greatest common divisor (GCD) of 5997 and 426 is 3.
Dividing both numerator and denominator by the GCD, we get 1999142.

Step 6: Convert to Mixed Number

The fraction 1999142 can be written as the mixed number 1411142.

Final Answer

The result of 82/142 added to 81/6 is:

82142+816=1411142

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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