5/82 added to 191/2 in Fraction Form

The result of 5/82 added to 191/2 is: 95 23/41

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 582 and 1912.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 82 and 2 is 82.

Step 3: Convert Fractions to Equivalent Fractions

Convert 582 to 582
Convert 1912 to 783182

Step 4: Add the Numerators

Add the numerators: 5 + 7831 = 7836

Step 5: Simplify the Fraction

We can simplify 783682 to its lowest form.
The greatest common divisor (GCD) of 7836 and 82 is 2.
Dividing both numerator and denominator by the GCD, we get 391841.

Step 6: Convert to Mixed Number

The fraction 391841 can be written as the mixed number 952341.

Final Answer

The result of 5/82 added to 191/2 is:

582+1912=952341

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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