15/233 added to 54/3 in Fraction Form

The result of 15/233 added to 54/3 is: 18 15/233

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15233 and 543.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 233 and 3 is 699.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15233 to 45699
Convert 543 to 12582699

Step 4: Add the Numerators

Add the numerators: 45 + 12582 = 12627

Step 5: Simplify the Fraction

We can simplify 12627699 to its lowest form.
The greatest common divisor (GCD) of 12627 and 699 is 3.
Dividing both numerator and denominator by the GCD, we get 4209233.

Step 6: Convert to Mixed Number

The fraction 4209233 can be written as the mixed number 1815233.

Final Answer

The result of 15/233 added to 54/3 is:

15233+543=1815233

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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