84/185 added to 16/4 in Fraction Form

The result of 84/185 added to 16/4 is: 4 84/185

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 84185 and 164.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 185 and 4 is 740.

Step 3: Convert Fractions to Equivalent Fractions

Convert 84185 to 336740
Convert 164 to 2960740

Step 4: Add the Numerators

Add the numerators: 336 + 2960 = 3296

Step 5: Simplify the Fraction

We can simplify 3296740 to its lowest form.
The greatest common divisor (GCD) of 3296 and 740 is 4.
Dividing both numerator and denominator by the GCD, we get 824185.

Step 6: Convert to Mixed Number

The fraction 824185 can be written as the mixed number 484185.

Final Answer

The result of 84/185 added to 16/4 is:

84185+164=484185

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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