83/164 added to 21/6 in Fraction Form

The result of 83/164 added to 21/6 is: 4 1/164

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 83164 and 216.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 164 and 6 is 492.

Step 3: Convert Fractions to Equivalent Fractions

Convert 83164 to 249492
Convert 216 to 1722492

Step 4: Add the Numerators

Add the numerators: 249 + 1722 = 1971

Step 5: Simplify the Fraction

We can simplify 1971492 to its lowest form.
The greatest common divisor (GCD) of 1971 and 492 is 3.
Dividing both numerator and denominator by the GCD, we get 657164.

Step 6: Convert to Mixed Number

The fraction 657164 can be written as the mixed number 41164.

Final Answer

The result of 83/164 added to 21/6 is:

83164+216=41164

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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