81/17 added to 209/4 in Fraction Form

The result of 81/17 added to 209/4 is: 57 1/68

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 8117 and 2094.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 17 and 4 is 68.

Step 3: Convert Fractions to Equivalent Fractions

Convert 8117 to 32468
Convert 2094 to 355368

Step 4: Add the Numerators

Add the numerators: 324 + 3553 = 3877

Step 5: Convert to Mixed Number

The fraction 387768 can be written as the mixed number 57168.

Final Answer

The result of 81/17 added to 209/4 is:

8117+2094=57168

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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