27/41 added to 201/3 in Fraction Form

The result of 27/41 added to 201/3 is: 67 27/41

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2741 and 2013.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 41 and 3 is 123.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2741 to 81123
Convert 2013 to 8241123

Step 4: Add the Numerators

Add the numerators: 81 + 8241 = 8322

Step 5: Simplify the Fraction

We can simplify 8322123 to its lowest form.
The greatest common divisor (GCD) of 8322 and 123 is 3.
Dividing both numerator and denominator by the GCD, we get 277441.

Step 6: Convert to Mixed Number

The fraction 277441 can be written as the mixed number 672741.

Final Answer

The result of 27/41 added to 201/3 is:

2741+2013=672741

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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