99/155 added to 82/2 in Fraction Form

The result of 99/155 added to 82/2 is: 41 99/155

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 99155 and 822.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 155 and 2 is 310.

Step 3: Convert Fractions to Equivalent Fractions

Convert 99155 to 198310
Convert 822 to 12710310

Step 4: Add the Numerators

Add the numerators: 198 + 12710 = 12908

Step 5: Simplify the Fraction

We can simplify 12908310 to its lowest form.
The greatest common divisor (GCD) of 12908 and 310 is 2.
Dividing both numerator and denominator by the GCD, we get 6454155.

Step 6: Convert to Mixed Number

The fraction 6454155 can be written as the mixed number 4199155.

Final Answer

The result of 99/155 added to 82/2 is:

99155+822=4199155

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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