73/213 added to 20/6 in Fraction Form

The result of 73/213 added to 20/6 is: 3 48/71

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 73213 and 206.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 213 and 6 is 426.

Step 3: Convert Fractions to Equivalent Fractions

Convert 73213 to 146426
Convert 206 to 1420426

Step 4: Add the Numerators

Add the numerators: 146 + 1420 = 1566

Step 5: Simplify the Fraction

We can simplify 1566426 to its lowest form.
The greatest common divisor (GCD) of 1566 and 426 is 6.
Dividing both numerator and denominator by the GCD, we get 26171.

Step 6: Convert to Mixed Number

The fraction 26171 can be written as the mixed number 34871.

Final Answer

The result of 73/213 added to 20/6 is:

73213+206=34871

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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