15/99 added to 163/2 in Fraction Form

The result of 15/99 added to 163/2 is: 81 43/66

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1599 and 1632.

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 1599 to 30198
Convert 1632 to 16137198

Step 4: Add the Numerators

Add the numerators: 30 + 16137 = 16167

Step 5: Simplify the Fraction

We can simplify 16167198 to its lowest form.
The greatest common divisor (GCD) of 16167 and 198 is 3.
Dividing both numerator and denominator by the GCD, we get 538966.

Step 6: Convert to Mixed Number

The fraction 538966 can be written as the mixed number 814366.

Final Answer

The result of 15/99 added to 163/2 is:

1599+1632=814366

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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