18/101 added to 27/6 in Fraction Form

The result of 18/101 added to 27/6 is: 4 137/202

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 18101 and 276.

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 18101 to 108606
Convert 276 to 2727606

Step 4: Add the Numerators

Add the numerators: 108 + 2727 = 2835

Step 5: Simplify the Fraction

We can simplify 2835606 to its lowest form.
The greatest common divisor (GCD) of 2835 and 606 is 3.
Dividing both numerator and denominator by the GCD, we get 945202.

Step 6: Convert to Mixed Number

The fraction 945202 can be written as the mixed number 4137202.

Final Answer

The result of 18/101 added to 27/6 is:

18101+276=4137202

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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