3/99 added to 3/2 in Fraction Form

The result of 3/99 added to 3/2 is: 1 35/66

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 399 and 32.

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 399 to 6198
Convert 32 to 297198

Step 4: Add the Numerators

Add the numerators: 6 + 297 = 303

Step 5: Simplify the Fraction

We can simplify 303198 to its lowest form.
The greatest common divisor (GCD) of 303 and 198 is 3.
Dividing both numerator and denominator by the GCD, we get 10166.

Step 6: Convert to Mixed Number

The fraction 10166 can be written as the mixed number 13566.

Final Answer

The result of 3/99 added to 3/2 is:

399+32=13566

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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