2/103 added to 3/3 in Fraction Form

The result of 2/103 added to 3/3 is: 1 2/103

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2103 and 33.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 103 and 3 is 309.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2103 to 6309
Convert 33 to 309309

Step 4: Add the Numerators

Add the numerators: 6 + 309 = 315

Step 5: Simplify the Fraction

We can simplify 315309 to its lowest form.
The greatest common divisor (GCD) of 315 and 309 is 3.
Dividing both numerator and denominator by the GCD, we get 105103.

Step 6: Convert to Mixed Number

The fraction 105103 can be written as the mixed number 12103.

Final Answer

The result of 2/103 added to 3/3 is:

2103+33=12103

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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