2/200 added to 10/2 in Fraction Form

The result of 2/200 added to 10/2 is: 5 1/100

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2200 and 102.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 200 and 2 is 200.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2200 to 2200
Convert 102 to 1000200

Step 4: Add the Numerators

Add the numerators: 2 + 1000 = 1002

Step 5: Simplify the Fraction

We can simplify 1002200 to its lowest form.
The greatest common divisor (GCD) of 1002 and 200 is 2.
Dividing both numerator and denominator by the GCD, we get 501100.

Step 6: Convert to Mixed Number

The fraction 501100 can be written as the mixed number 51100.

Final Answer

The result of 2/200 added to 10/2 is:

2200+102=51100

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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