169/99 added to 10/4 in Fraction Form

The result of 169/99 added to 10/4 is: 4 41/198

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 16999 and 104.

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 16999 to 676396
Convert 104 to 990396

Step 4: Add the Numerators

Add the numerators: 676 + 990 = 1666

Step 5: Simplify the Fraction

We can simplify 1666396 to its lowest form.
The greatest common divisor (GCD) of 1666 and 396 is 2.
Dividing both numerator and denominator by the GCD, we get 833198.

Step 6: Convert to Mixed Number

The fraction 833198 can be written as the mixed number 441198.

Final Answer

The result of 169/99 added to 10/4 is:

16999+104=441198

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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