20/182 added to 33/6 in Fraction Form

The result of 20/182 added to 33/6 is: 5 111/182

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20182 and 336.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 182 and 6 is 546.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20182 to 60546
Convert 336 to 3003546

Step 4: Add the Numerators

Add the numerators: 60 + 3003 = 3063

Step 5: Simplify the Fraction

We can simplify 3063546 to its lowest form.
The greatest common divisor (GCD) of 3063 and 546 is 3.
Dividing both numerator and denominator by the GCD, we get 1021182.

Step 6: Convert to Mixed Number

The fraction 1021182 can be written as the mixed number 5111182.

Final Answer

The result of 20/182 added to 33/6 is:

20182+336=5111182

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).

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