178/99 added to 16/4 in Fraction Form

The result of 178/99 added to 16/4 is: 5 79/99

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17899 and 164.

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 17899 to 712396
Convert 164 to 1584396

Step 4: Add the Numerators

Add the numerators: 712 + 1584 = 2296

Step 5: Simplify the Fraction

We can simplify 2296396 to its lowest form.
The greatest common divisor (GCD) of 2296 and 396 is 4.
Dividing both numerator and denominator by the GCD, we get 57499.

Step 6: Convert to Mixed Number

The fraction 57499 can be written as the mixed number 57999.

Final Answer

The result of 178/99 added to 16/4 is:

17899+164=57999

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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