12/185 added to 72/3 in Fraction Form

The result of 12/185 added to 72/3 is: 24 12/185

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12185 and 723.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 185 and 3 is 555.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12185 to 36555
Convert 723 to 13320555

Step 4: Add the Numerators

Add the numerators: 36 + 13320 = 13356

Step 5: Simplify the Fraction

We can simplify 13356555 to its lowest form.
The greatest common divisor (GCD) of 13356 and 555 is 3.
Dividing both numerator and denominator by the GCD, we get 4452185.

Step 6: Convert to Mixed Number

The fraction 4452185 can be written as the mixed number 2412185.

Final Answer

The result of 12/185 added to 72/3 is:

12185+723=2412185

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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