107/118 added to 99/3 in Fraction Form

The result of 107/118 added to 99/3 is: 33 107/118

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 107118 and 993.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 118 and 3 is 354.

Step 3: Convert Fractions to Equivalent Fractions

Convert 107118 to 321354
Convert 993 to 11682354

Step 4: Add the Numerators

Add the numerators: 321 + 11682 = 12003

Step 5: Simplify the Fraction

We can simplify 12003354 to its lowest form.
The greatest common divisor (GCD) of 12003 and 354 is 3.
Dividing both numerator and denominator by the GCD, we get 4001118.

Step 6: Convert to Mixed Number

The fraction 4001118 can be written as the mixed number 33107118.

Final Answer

The result of 107/118 added to 99/3 is:

107118+993=33107118

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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