32/99 added to 122/6 in Fraction Form

The result of 32/99 added to 122/6 is: 20 65/99

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3299 and 1226.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 99 and 6 is 198.

Step 3: Convert Fractions to Equivalent Fractions

Convert 3299 to 64198
Convert 1226 to 4026198

Step 4: Add the Numerators

Add the numerators: 64 + 4026 = 4090

Step 5: Simplify the Fraction

We can simplify 4090198 to its lowest form.
The greatest common divisor (GCD) of 4090 and 198 is 2.
Dividing both numerator and denominator by the GCD, we get 204599.

Step 6: Convert to Mixed Number

The fraction 204599 can be written as the mixed number 206599.

Final Answer

The result of 32/99 added to 122/6 is:

3299+1226=206599

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).

Fraction Calculator

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