82/23 added to 12/3 in Fraction Form

The result of 82/23 added to 12/3 is: 7 13/23

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 8223 and 123.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 23 and 3 is 69.

Step 3: Convert Fractions to Equivalent Fractions

Convert 8223 to 24669
Convert 123 to 27669

Step 4: Add the Numerators

Add the numerators: 246 + 276 = 522

Step 5: Simplify the Fraction

We can simplify 52269 to its lowest form.
The greatest common divisor (GCD) of 522 and 69 is 3.
Dividing both numerator and denominator by the GCD, we get 17423.

Step 6: Convert to Mixed Number

The fraction 17423 can be written as the mixed number 71323.

Final Answer

The result of 82/23 added to 12/3 is:

8223+123=71323

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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