185/102 added to 46/4 in Fraction Form

The result of 185/102 added to 46/4 is: 13 16/51

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 185102 and 464.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 102 and 4 is 204.

Step 3: Convert Fractions to Equivalent Fractions

Convert 185102 to 370204
Convert 464 to 2346204

Step 4: Add the Numerators

Add the numerators: 370 + 2346 = 2716

Step 5: Simplify the Fraction

We can simplify 2716204 to its lowest form.
The greatest common divisor (GCD) of 2716 and 204 is 4.
Dividing both numerator and denominator by the GCD, we get 67951.

Step 6: Convert to Mixed Number

The fraction 67951 can be written as the mixed number 131651.

Final Answer

The result of 185/102 added to 46/4 is:

185102+464=131651

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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