12/185 added to 114/3 in Fraction Form

The result of 12/185 added to 114/3 is: 38 12/185

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12185 and 1143.

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 1143 to 21090555

Step 4: Add the Numerators

Add the numerators: 36 + 21090 = 21126

Step 5: Simplify the Fraction

We can simplify 21126555 to its lowest form.
The greatest common divisor (GCD) of 21126 and 555 is 3.
Dividing both numerator and denominator by the GCD, we get 7042185.

Step 6: Convert to Mixed Number

The fraction 7042185 can be written as the mixed number 3812185.

Final Answer

The result of 12/185 added to 114/3 is:

12185+1143=3812185

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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