8/23 added to 164/6 in Fraction Form

The result of 8/23 added to 164/6 is: 27 47/69

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 823 and 1646.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 23 and 6 is 138.

Step 3: Convert Fractions to Equivalent Fractions

Convert 823 to 48138
Convert 1646 to 3772138

Step 4: Add the Numerators

Add the numerators: 48 + 3772 = 3820

Step 5: Simplify the Fraction

We can simplify 3820138 to its lowest form.
The greatest common divisor (GCD) of 3820 and 138 is 2.
Dividing both numerator and denominator by the GCD, we get 191069.

Step 6: Convert to Mixed Number

The fraction 191069 can be written as the mixed number 274769.

Final Answer

The result of 8/23 added to 164/6 is:

823+1646=274769

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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