17/11 added to 218/2 in Fraction Form

The result of 17/11 added to 218/2 is: 110 6/11

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1711 and 2182.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 11 and 2 is 22.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1711 to 3422
Convert 2182 to 239822

Step 4: Add the Numerators

Add the numerators: 34 + 2398 = 2432

Step 5: Simplify the Fraction

We can simplify 243222 to its lowest form.
The greatest common divisor (GCD) of 2432 and 22 is 2.
Dividing both numerator and denominator by the GCD, we get 121611.

Step 6: Convert to Mixed Number

The fraction 121611 can be written as the mixed number 110611.

Final Answer

The result of 17/11 added to 218/2 is:

1711+2182=110611

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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