18/17 added to 40/2 in Fraction Form

The result of 18/17 added to 40/2 is: 21 1/17

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1817 and 402.

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 1817 to 3634
Convert 402 to 68034

Step 4: Add the Numerators

Add the numerators: 36 + 680 = 716

Step 5: Simplify the Fraction

We can simplify 71634 to its lowest form.
The greatest common divisor (GCD) of 716 and 34 is 2.
Dividing both numerator and denominator by the GCD, we get 35817.

Step 6: Convert to Mixed Number

The fraction 35817 can be written as the mixed number 21117.

Final Answer

The result of 18/17 added to 40/2 is:

1817+402=21117

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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