82/139 added to 20/4 in Fraction Form

The result of 82/139 added to 20/4 is: 5 82/139

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 82139 and 204.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 139 and 4 is 556.

Step 3: Convert Fractions to Equivalent Fractions

Convert 82139 to 328556
Convert 204 to 2780556

Step 4: Add the Numerators

Add the numerators: 328 + 2780 = 3108

Step 5: Simplify the Fraction

We can simplify 3108556 to its lowest form.
The greatest common divisor (GCD) of 3108 and 556 is 4.
Dividing both numerator and denominator by the GCD, we get 777139.

Step 6: Convert to Mixed Number

The fraction 777139 can be written as the mixed number 582139.

Final Answer

The result of 82/139 added to 20/4 is:

82139+204=582139

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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