49/101 added to 20/4 in Fraction Form

The result of 49/101 added to 20/4 is: 5 49/101

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 49101 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 49101 to 196404
Convert 204 to 2020404

Step 4: Add the Numerators

Add the numerators: 196 + 2020 = 2216

Step 5: Simplify the Fraction

We can simplify 2216404 to its lowest form.
The greatest common divisor (GCD) of 2216 and 404 is 4.
Dividing both numerator and denominator by the GCD, we get 554101.

Step 6: Convert to Mixed Number

The fraction 554101 can be written as the mixed number 549101.

Final Answer

The result of 49/101 added to 20/4 is:

49101+204=549101

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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