82/184 added to 47/2 in Fraction Form

The result of 82/184 added to 47/2 is: 23 87/92

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 82184 and 472.

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 472 to 4324184

Step 4: Add the Numerators

Add the numerators: 82 + 4324 = 4406

Step 5: Simplify the Fraction

We can simplify 4406184 to its lowest form.
The greatest common divisor (GCD) of 4406 and 184 is 2.
Dividing both numerator and denominator by the GCD, we get 220392.

Step 6: Convert to Mixed Number

The fraction 220392 can be written as the mixed number 238792.

Final Answer

The result of 82/184 added to 47/2 is:

82184+472=238792

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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