17/212 added to 39/3 in Fraction Form

The result of 17/212 added to 39/3 is: 13 17/212

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17212 and 393.

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 17212 to 51636
Convert 393 to 8268636

Step 4: Add the Numerators

Add the numerators: 51 + 8268 = 8319

Step 5: Simplify the Fraction

We can simplify 8319636 to its lowest form.
The greatest common divisor (GCD) of 8319 and 636 is 3.
Dividing both numerator and denominator by the GCD, we get 2773212.

Step 6: Convert to Mixed Number

The fraction 2773212 can be written as the mixed number 1317212.

Final Answer

The result of 17/212 added to 39/3 is:

17212+393=1317212

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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