20/99 added to 166/4 in Fraction Form

The result of 20/99 added to 166/4 is: 41 139/198

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2099 and 1664.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 99 and 4 is 396.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2099 to 80396
Convert 1664 to 16434396

Step 4: Add the Numerators

Add the numerators: 80 + 16434 = 16514

Step 5: Simplify the Fraction

We can simplify 16514396 to its lowest form.
The greatest common divisor (GCD) of 16514 and 396 is 2.
Dividing both numerator and denominator by the GCD, we get 8257198.

Step 6: Convert to Mixed Number

The fraction 8257198 can be written as the mixed number 41139198.

Final Answer

The result of 20/99 added to 166/4 is:

2099+1664=41139198

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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