128/23 added to 81/3 in Fraction Form

The result of 128/23 added to 81/3 is: 32 13/23

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12823 and 813.

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 12823 to 38469
Convert 813 to 186369

Step 4: Add the Numerators

Add the numerators: 384 + 1863 = 2247

Step 5: Simplify the Fraction

We can simplify 224769 to its lowest form.
The greatest common divisor (GCD) of 2247 and 69 is 3.
Dividing both numerator and denominator by the GCD, we get 74923.

Step 6: Convert to Mixed Number

The fraction 74923 can be written as the mixed number 321323.

Final Answer

The result of 128/23 added to 81/3 is:

12823+813=321323

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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