99/15 added to 154/2 in Fraction Form

The result of 99/15 added to 154/2 is: 83 3/5

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 9915 and 1542.

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 1542 to 231030

Step 4: Add the Numerators

Add the numerators: 198 + 2310 = 2508

Step 5: Simplify the Fraction

We can simplify 250830 to its lowest form.
The greatest common divisor (GCD) of 2508 and 30 is 6.
Dividing both numerator and denominator by the GCD, we get 4185.

Step 6: Convert to Mixed Number

The fraction 4185 can be written as the mixed number 8335.

Final Answer

The result of 99/15 added to 154/2 is:

9915+1542=8335

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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