205/101 added to 20/4 in Fraction Form

The result of 205/101 added to 20/4 is: 7 3/101

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 205101 and 204.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 101 and 4 is 404.

Step 3: Convert Fractions to Equivalent Fractions

Convert 205101 to 820404
Convert 204 to 2020404

Step 4: Add the Numerators

Add the numerators: 820 + 2020 = 2840

Step 5: Simplify the Fraction

We can simplify 2840404 to its lowest form.
The greatest common divisor (GCD) of 2840 and 404 is 4.
Dividing both numerator and denominator by the GCD, we get 710101.

Step 6: Convert to Mixed Number

The fraction 710101 can be written as the mixed number 73101.

Final Answer

The result of 205/101 added to 20/4 is:

205101+204=73101

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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