185/49 added to 82/2 in Fraction Form

The result of 185/49 added to 82/2 is: 44 38/49

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 18549 and 822.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 49 and 2 is 98.

Step 3: Convert Fractions to Equivalent Fractions

Convert 18549 to 37098
Convert 822 to 401898

Step 4: Add the Numerators

Add the numerators: 370 + 4018 = 4388

Step 5: Simplify the Fraction

We can simplify 438898 to its lowest form.
The greatest common divisor (GCD) of 4388 and 98 is 2.
Dividing both numerator and denominator by the GCD, we get 219449.

Step 6: Convert to Mixed Number

The fraction 219449 can be written as the mixed number 443849.

Final Answer

The result of 185/49 added to 82/2 is:

18549+822=443849

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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