12/212 added to 42/3 in Fraction Form

The result of 12/212 added to 42/3 is: 14 3/53

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12212 and 423.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 212 and 3 is 636.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12212 to 36636
Convert 423 to 8904636

Step 4: Add the Numerators

Add the numerators: 36 + 8904 = 8940

Step 5: Simplify the Fraction

We can simplify 8940636 to its lowest form.
The greatest common divisor (GCD) of 8940 and 636 is 12.
Dividing both numerator and denominator by the GCD, we get 74553.

Step 6: Convert to Mixed Number

The fraction 74553 can be written as the mixed number 14353.

Final Answer

The result of 12/212 added to 42/3 is:

12212+423=14353

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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