20/82 added to 205/3 in Fraction Form

The result of 20/82 added to 205/3 is: 68 71/123

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2082 and 2053.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 82 and 3 is 246.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2082 to 60246
Convert 2053 to 16810246

Step 4: Add the Numerators

Add the numerators: 60 + 16810 = 16870

Step 5: Simplify the Fraction

We can simplify 16870246 to its lowest form.
The greatest common divisor (GCD) of 16870 and 246 is 2.
Dividing both numerator and denominator by the GCD, we get 8435123.

Step 6: Convert to Mixed Number

The fraction 8435123 can be written as the mixed number 6871123.

Final Answer

The result of 20/82 added to 205/3 is:

2082+2053=6871123

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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