210/9 added to 39/3 in Fraction Form

The result of 210/9 added to 39/3 is: 36 1/3

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2109 and 393.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 9 and 3 is 9.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2109 to 2109
Convert 393 to 1179

Step 4: Add the Numerators

Add the numerators: 210 + 117 = 327

Step 5: Simplify the Fraction

We can simplify 3279 to its lowest form.
The greatest common divisor (GCD) of 327 and 9 is 3.
Dividing both numerator and denominator by the GCD, we get 1093.

Step 6: Convert to Mixed Number

The fraction 1093 can be written as the mixed number 3613.

Final Answer

The result of 210/9 added to 39/3 is:

2109+393=3613

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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