37/99 added to 184/2 in Fraction Form

The result of 37/99 added to 184/2 is: 92 37/99

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3799 and 1842.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 99 and 2 is 198.

Step 3: Convert Fractions to Equivalent Fractions

Convert 3799 to 74198
Convert 1842 to 18216198

Step 4: Add the Numerators

Add the numerators: 74 + 18216 = 18290

Step 5: Simplify the Fraction

We can simplify 18290198 to its lowest form.
The greatest common divisor (GCD) of 18290 and 198 is 2.
Dividing both numerator and denominator by the GCD, we get 914599.

Step 6: Convert to Mixed Number

The fraction 914599 can be written as the mixed number 923799.

Final Answer

The result of 37/99 added to 184/2 is:

3799+1842=923799

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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