83/182 added to 17/2 in Fraction Form

The result of 83/182 added to 17/2 is: 8 87/91

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 83182 and 172.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 182 and 2 is 182.

Step 3: Convert Fractions to Equivalent Fractions

Convert 83182 to 83182
Convert 172 to 1547182

Step 4: Add the Numerators

Add the numerators: 83 + 1547 = 1630

Step 5: Simplify the Fraction

We can simplify 1630182 to its lowest form.
The greatest common divisor (GCD) of 1630 and 182 is 2.
Dividing both numerator and denominator by the GCD, we get 81591.

Step 6: Convert to Mixed Number

The fraction 81591 can be written as the mixed number 88791.

Final Answer

The result of 83/182 added to 17/2 is:

83182+172=88791

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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