82/101 added to 82/4 in Fraction Form

The result of 82/101 added to 82/4 is: 21 63/202

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 82101 and 824.

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 82101 to 328404
Convert 824 to 8282404

Step 4: Add the Numerators

Add the numerators: 328 + 8282 = 8610

Step 5: Simplify the Fraction

We can simplify 8610404 to its lowest form.
The greatest common divisor (GCD) of 8610 and 404 is 2.
Dividing both numerator and denominator by the GCD, we get 4305202.

Step 6: Convert to Mixed Number

The fraction 4305202 can be written as the mixed number 2163202.

Final Answer

The result of 82/101 added to 82/4 is:

82101+824=2163202

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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