178/17 added to 99/3 in Fraction Form

The result of 178/17 added to 99/3 is: 43 8/17

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17817 and 993.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 17 and 3 is 51.

Step 3: Convert Fractions to Equivalent Fractions

Convert 17817 to 53451
Convert 993 to 168351

Step 4: Add the Numerators

Add the numerators: 534 + 1683 = 2217

Step 5: Simplify the Fraction

We can simplify 221751 to its lowest form.
The greatest common divisor (GCD) of 2217 and 51 is 3.
Dividing both numerator and denominator by the GCD, we get 73917.

Step 6: Convert to Mixed Number

The fraction 73917 can be written as the mixed number 43817.

Final Answer

The result of 178/17 added to 99/3 is:

17817+993=43817

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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