100/18 added to 118/3 in Fraction Form

The result of 100/18 added to 118/3 is: 44 8/9

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 10018 and 1183.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 18 and 3 is 18.

Step 3: Convert Fractions to Equivalent Fractions

Convert 10018 to 10018
Convert 1183 to 70818

Step 4: Add the Numerators

Add the numerators: 100 + 708 = 808

Step 5: Simplify the Fraction

We can simplify 80818 to its lowest form.
The greatest common divisor (GCD) of 808 and 18 is 2.
Dividing both numerator and denominator by the GCD, we get 4049.

Step 6: Convert to Mixed Number

The fraction 4049 can be written as the mixed number 4489.

Final Answer

The result of 100/18 added to 118/3 is:

10018+1183=4489

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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