194/102 added to 18/2 in Fraction Form

The result of 194/102 added to 18/2 is: 10 46/51

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 194102 and 182.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 102 and 2 is 102.

Step 3: Convert Fractions to Equivalent Fractions

Convert 194102 to 194102
Convert 182 to 918102

Step 4: Add the Numerators

Add the numerators: 194 + 918 = 1112

Step 5: Simplify the Fraction

We can simplify 1112102 to its lowest form.
The greatest common divisor (GCD) of 1112 and 102 is 2.
Dividing both numerator and denominator by the GCD, we get 55651.

Step 6: Convert to Mixed Number

The fraction 55651 can be written as the mixed number 104651.

Final Answer

The result of 194/102 added to 18/2 is:

194102+182=104651

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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