17/217 added to 4/4 in Fraction Form

The result of 17/217 added to 4/4 is: 1 17/217

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17217 and 44.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 217 and 4 is 868.

Step 3: Convert Fractions to Equivalent Fractions

Convert 17217 to 68868
Convert 44 to 868868

Step 4: Add the Numerators

Add the numerators: 68 + 868 = 936

Step 5: Simplify the Fraction

We can simplify 936868 to its lowest form.
The greatest common divisor (GCD) of 936 and 868 is 4.
Dividing both numerator and denominator by the GCD, we get 234217.

Step 6: Convert to Mixed Number

The fraction 234217 can be written as the mixed number 117217.

Final Answer

The result of 17/217 added to 4/4 is:

17217+44=117217

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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