100/100 added to 102/3 in Fraction Form

The result of 100/100 added to 102/3 is: 35

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 100100 and 1023.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 100 and 3 is 300.

Step 3: Convert Fractions to Equivalent Fractions

Convert 100100 to 300300
Convert 1023 to 10200300

Step 4: Add the Numerators

Add the numerators: 300 + 10200 = 10500

Step 5: Simplify the Fraction

We can simplify 10500300 to its lowest form.
The greatest common divisor (GCD) of 10500 and 300 is 300.
Dividing both numerator and denominator by the GCD, we get 351.

Final Answer

The result of 100/100 added to 102/3 is:

100100+1023=35

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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