43/223 added to 24/3 in Fraction Form

The result of 43/223 added to 24/3 is: 8 43/223

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 43223 and 243.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 223 and 3 is 669.

Step 3: Convert Fractions to Equivalent Fractions

Convert 43223 to 129669
Convert 243 to 5352669

Step 4: Add the Numerators

Add the numerators: 129 + 5352 = 5481

Step 5: Simplify the Fraction

We can simplify 5481669 to its lowest form.
The greatest common divisor (GCD) of 5481 and 669 is 3.
Dividing both numerator and denominator by the GCD, we get 1827223.

Step 6: Convert to Mixed Number

The fraction 1827223 can be written as the mixed number 843223.

Final Answer

The result of 43/223 added to 24/3 is:

43223+243=843223

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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