69/113 added to 100/2 in Fraction Form

The result of 69/113 added to 100/2 is: 50 69/113

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 69113 and 1002.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 113 and 2 is 226.

Step 3: Convert Fractions to Equivalent Fractions

Convert 69113 to 138226
Convert 1002 to 11300226

Step 4: Add the Numerators

Add the numerators: 138 + 11300 = 11438

Step 5: Simplify the Fraction

We can simplify 11438226 to its lowest form.
The greatest common divisor (GCD) of 11438 and 226 is 2.
Dividing both numerator and denominator by the GCD, we get 5719113.

Step 6: Convert to Mixed Number

The fraction 5719113 can be written as the mixed number 5069113.

Final Answer

The result of 69/113 added to 100/2 is:

69113+1002=5069113

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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