10/18 added to 119/3 in Fraction Form

The result of 10/18 added to 119/3 is: 40 2/9

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1018 and 1193.

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 1018 to 1018
Convert 1193 to 71418

Step 4: Add the Numerators

Add the numerators: 10 + 714 = 724

Step 5: Simplify the Fraction

We can simplify 72418 to its lowest form.
The greatest common divisor (GCD) of 724 and 18 is 2.
Dividing both numerator and denominator by the GCD, we get 3629.

Step 6: Convert to Mixed Number

The fraction 3629 can be written as the mixed number 4029.

Final Answer

The result of 10/18 added to 119/3 is:

1018+1193=4029

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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