19/82 added to 206/4 in Fraction Form

The result of 19/82 added to 206/4 is: 51 30/41

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1982 and 2064.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 82 and 4 is 164.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1982 to 38164
Convert 2064 to 8446164

Step 4: Add the Numerators

Add the numerators: 38 + 8446 = 8484

Step 5: Simplify the Fraction

We can simplify 8484164 to its lowest form.
The greatest common divisor (GCD) of 8484 and 164 is 4.
Dividing both numerator and denominator by the GCD, we get 212141.

Step 6: Convert to Mixed Number

The fraction 212141 can be written as the mixed number 513041.

Final Answer

The result of 19/82 added to 206/4 is:

1982+2064=513041

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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