5/82 added to 96/4 in Fraction Form

The result of 5/82 added to 96/4 is: 24 5/82

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 582 and 964.

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 582 to 10164
Convert 964 to 3936164

Step 4: Add the Numerators

Add the numerators: 10 + 3936 = 3946

Step 5: Simplify the Fraction

We can simplify 3946164 to its lowest form.
The greatest common divisor (GCD) of 3946 and 164 is 2.
Dividing both numerator and denominator by the GCD, we get 197382.

Step 6: Convert to Mixed Number

The fraction 197382 can be written as the mixed number 24582.

Final Answer

The result of 5/82 added to 96/4 is:

582+964=24582

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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