82/168 added to 13/3 in Fraction Form

The result of 82/168 added to 13/3 is: 4 23/28

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 82168 and 133.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 168 and 3 is 168.

Step 3: Convert Fractions to Equivalent Fractions

Convert 82168 to 82168
Convert 133 to 728168

Step 4: Add the Numerators

Add the numerators: 82 + 728 = 810

Step 5: Simplify the Fraction

We can simplify 810168 to its lowest form.
The greatest common divisor (GCD) of 810 and 168 is 6.
Dividing both numerator and denominator by the GCD, we get 13528.

Step 6: Convert to Mixed Number

The fraction 13528 can be written as the mixed number 42328.

Final Answer

The result of 82/168 added to 13/3 is:

82168+133=42328

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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