81/17 added to 22/2 in Fraction Form

The result of 81/17 added to 22/2 is: 15 13/17

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 8117 and 222.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 17 and 2 is 34.

Step 3: Convert Fractions to Equivalent Fractions

Convert 8117 to 16234
Convert 222 to 37434

Step 4: Add the Numerators

Add the numerators: 162 + 374 = 536

Step 5: Simplify the Fraction

We can simplify 53634 to its lowest form.
The greatest common divisor (GCD) of 536 and 34 is 2.
Dividing both numerator and denominator by the GCD, we get 26817.

Step 6: Convert to Mixed Number

The fraction 26817 can be written as the mixed number 151317.

Final Answer

The result of 81/17 added to 22/2 is:

8117+222=151317

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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