20/271 added to 20/4 in Fraction Form

The result of 20/271 added to 20/4 is: 5 20/271

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20271 and 204.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 271 and 4 is 1084.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20271 to 801084
Convert 204 to 54201084

Step 4: Add the Numerators

Add the numerators: 80 + 5420 = 5500

Step 5: Simplify the Fraction

We can simplify 55001084 to its lowest form.
The greatest common divisor (GCD) of 5500 and 1084 is 4.
Dividing both numerator and denominator by the GCD, we get 1375271.

Step 6: Convert to Mixed Number

The fraction 1375271 can be written as the mixed number 520271.

Final Answer

The result of 20/271 added to 20/4 is:

20271+204=520271

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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