41/202 added to 27/2 in Fraction Form

The result of 41/202 added to 27/2 is: 13 71/101

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 41202 and 272.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 202 and 2 is 202.

Step 3: Convert Fractions to Equivalent Fractions

Convert 41202 to 41202
Convert 272 to 2727202

Step 4: Add the Numerators

Add the numerators: 41 + 2727 = 2768

Step 5: Simplify the Fraction

We can simplify 2768202 to its lowest form.
The greatest common divisor (GCD) of 2768 and 202 is 2.
Dividing both numerator and denominator by the GCD, we get 1384101.

Step 6: Convert to Mixed Number

The fraction 1384101 can be written as the mixed number 1371101.

Final Answer

The result of 41/202 added to 27/2 is:

41202+272=1371101

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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