20/97 added to 164/2 in Fraction Form

The result of 20/97 added to 164/2 is: 82 20/97

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2097 and 1642.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 97 and 2 is 194.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2097 to 40194
Convert 1642 to 15908194

Step 4: Add the Numerators

Add the numerators: 40 + 15908 = 15948

Step 5: Simplify the Fraction

We can simplify 15948194 to its lowest form.
The greatest common divisor (GCD) of 15948 and 194 is 2.
Dividing both numerator and denominator by the GCD, we get 797497.

Step 6: Convert to Mixed Number

The fraction 797497 can be written as the mixed number 822097.

Final Answer

The result of 20/97 added to 164/2 is:

2097+1642=822097

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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