83/23 added to 146/6 in Fraction Form

The result of 83/23 added to 146/6 is: 27 65/69

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 8323 and 1466.

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 8323 to 498138
Convert 1466 to 3358138

Step 4: Add the Numerators

Add the numerators: 498 + 3358 = 3856

Step 5: Simplify the Fraction

We can simplify 3856138 to its lowest form.
The greatest common divisor (GCD) of 3856 and 138 is 2.
Dividing both numerator and denominator by the GCD, we get 192869.

Step 6: Convert to Mixed Number

The fraction 192869 can be written as the mixed number 276569.

Final Answer

The result of 83/23 added to 146/6 is:

8323+1466=276569

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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