99/50 added to 81/3 in Fraction Form

The result of 99/50 added to 81/3 is: 28 49/50

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 9950 and 813.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 50 and 3 is 150.

Step 3: Convert Fractions to Equivalent Fractions

Convert 9950 to 297150
Convert 813 to 4050150

Step 4: Add the Numerators

Add the numerators: 297 + 4050 = 4347

Step 5: Simplify the Fraction

We can simplify 4347150 to its lowest form.
The greatest common divisor (GCD) of 4347 and 150 is 3.
Dividing both numerator and denominator by the GCD, we get 144950.

Step 6: Convert to Mixed Number

The fraction 144950 can be written as the mixed number 284950.

Final Answer

The result of 99/50 added to 81/3 is:

9950+813=284950

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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