185/102 added to 47/2 in Fraction Form

The result of 185/102 added to 47/2 is: 25 16/51

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 185102 and 472.

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 185102 to 185102
Convert 472 to 2397102

Step 4: Add the Numerators

Add the numerators: 185 + 2397 = 2582

Step 5: Simplify the Fraction

We can simplify 2582102 to its lowest form.
The greatest common divisor (GCD) of 2582 and 102 is 2.
Dividing both numerator and denominator by the GCD, we get 129151.

Step 6: Convert to Mixed Number

The fraction 129151 can be written as the mixed number 251651.

Final Answer

The result of 185/102 added to 47/2 is:

185102+472=251651

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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