184/101 added to 16/6 in Fraction Form

The result of 184/101 added to 16/6 is: 4 148/303

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 184101 and 166.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 101 and 6 is 606.

Step 3: Convert Fractions to Equivalent Fractions

Convert 184101 to 1104606
Convert 166 to 1616606

Step 4: Add the Numerators

Add the numerators: 1104 + 1616 = 2720

Step 5: Simplify the Fraction

We can simplify 2720606 to its lowest form.
The greatest common divisor (GCD) of 2720 and 606 is 2.
Dividing both numerator and denominator by the GCD, we get 1360303.

Step 6: Convert to Mixed Number

The fraction 1360303 can be written as the mixed number 4148303.

Final Answer

The result of 184/101 added to 16/6 is:

184101+166=4148303

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).

Fraction Calculator

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