82/184 added to 9/2 in Fraction Form

The result of 82/184 added to 9/2 is: 4 87/92

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 82184 and 92.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 184 and 2 is 184.

Step 3: Convert Fractions to Equivalent Fractions

Convert 82184 to 82184
Convert 92 to 828184

Step 4: Add the Numerators

Add the numerators: 82 + 828 = 910

Step 5: Simplify the Fraction

We can simplify 910184 to its lowest form.
The greatest common divisor (GCD) of 910 and 184 is 2.
Dividing both numerator and denominator by the GCD, we get 45592.

Step 6: Convert to Mixed Number

The fraction 45592 can be written as the mixed number 48792.

Final Answer

The result of 82/184 added to 9/2 is:

82184+92=48792

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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