99/15 added to 192/2 in Fraction Form

The result of 99/15 added to 192/2 is: 102 3/5

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 9915 and 1922.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 15 and 2 is 30.

Step 3: Convert Fractions to Equivalent Fractions

Convert 9915 to 19830
Convert 1922 to 288030

Step 4: Add the Numerators

Add the numerators: 198 + 2880 = 3078

Step 5: Simplify the Fraction

We can simplify 307830 to its lowest form.
The greatest common divisor (GCD) of 3078 and 30 is 6.
Dividing both numerator and denominator by the GCD, we get 5135.

Step 6: Convert to Mixed Number

The fraction 5135 can be written as the mixed number 10235.

Final Answer

The result of 99/15 added to 192/2 is:

9915+1922=10235

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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