141/99 added to 96/2 in Fraction Form

The result of 141/99 added to 96/2 is: 49 14/33

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 14199 and 962.

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 14199 to 282198
Convert 962 to 9504198

Step 4: Add the Numerators

Add the numerators: 282 + 9504 = 9786

Step 5: Simplify the Fraction

We can simplify 9786198 to its lowest form.
The greatest common divisor (GCD) of 9786 and 198 is 6.
Dividing both numerator and denominator by the GCD, we get 163133.

Step 6: Convert to Mixed Number

The fraction 163133 can be written as the mixed number 491433.

Final Answer

The result of 141/99 added to 96/2 is:

14199+962=491433

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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