99/102 added to 120/4 in Fraction Form

The result of 99/102 added to 120/4 is: 30 33/34

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 99102 and 1204.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 102 and 4 is 204.

Step 3: Convert Fractions to Equivalent Fractions

Convert 99102 to 198204
Convert 1204 to 6120204

Step 4: Add the Numerators

Add the numerators: 198 + 6120 = 6318

Step 5: Simplify the Fraction

We can simplify 6318204 to its lowest form.
The greatest common divisor (GCD) of 6318 and 204 is 6.
Dividing both numerator and denominator by the GCD, we get 105334.

Step 6: Convert to Mixed Number

The fraction 105334 can be written as the mixed number 303334.

Final Answer

The result of 99/102 added to 120/4 is:

99102+1204=303334

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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